How does the substitution method works for solving a two order system of equations?

Answers

Answer 1

The method of solving "by substitution" works by solving one of the equations for one of the variables, and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

A quadratic equation is a second-order equation written as ax² + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.

To solve two order system of equations using substitution, follow these steps:

Step 1. Choose one equation and solve it for either of the one variables.

Step 2. In the other equation, substitute the value get from step 1.

Step 3. Solve the new equation.

Step 4. Substitute the value found into any equation involving both variables and solve for the other variable.

Step 5. Check the solution in both original equations.

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Related Questions

simplify (8x^3 + 7x^2 - 3x + 6) + ( -2x^2 - 5x + 4 )

Answers

Answer:

hello! :) have a good day!

8x³ + 5x² − 8x + 10

(8x^3+7^2-3x+6)+(-2x^2-5x+4)

parentheses

8x^3+7^2-3x+6 + -2x^2-5x+4

like terms

8x^3 + (7x ^2 -2x^2) + (-3x -5x) + (6 +4)

simplify

8x^3 + 5 x^2 -8 x+10

how many times can 1/4 go into 6​

Answers

Answer:

24 times

Step-by-step explanation:

Answer:24

Step-by-step explanation:

Write the equation of the line.

Answers

y = 1/3x - 2.
If you sub in 0, you’ll get (0, -2) which is the y intercept.

Help me find the slope to 0,0 and 6,1

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Slopes and gradient.

slope, m = y2-y1/ x2-x1

hence, m = 1-0/ 6-0

m = 1/6

hence slope = 0.166

The guy above is correct

But wouldn’t want to make you waste your points so now I will get them.

Thank you!!!

what is m



A.
B.
C.
D.

Answers

Answer: .B.

Step-by-step explanation

please help me , I am so confused my head is hurting from this problem...​

Answers

Answer:

For the first one you could do 1 and 3/5 for the second one you ca  do 2/5 3/5 and 3/5 again to get the answer

Step-by-step explanation:

1 + 3/5 = 1 3/5

2/5 + 3/5 + 3/5 = 1 3/5

The following data show the scores Gina obtained on 12 IQ tests:
93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86
The box plot below represents these data:
74
76
78
80
82
84
86
88
90
92
94
96
98
Which of the following is shown incorrectly in the box plot? (5 points)
Оа
Median
Ob
Lower quartile
ос
Upper quartile
Od
Maximum value

Answers

Answer:

Median

Step-by-step explanation:

74,83,87,90,92,93,94

Add them together then divide by how many are there to get the median. Then check the data.

Your teacher asked your class to describe a real world situation in which a y-intercept is 100 and the slope is 5. Your partner gave the following description: My younger brother originally had 100 small building blocks, but he has lost 5 of them every month since. What mistake did your partner make?

Answers

Answer:

He should have said that his small brother had 100 small building bricks, but lost 5 in total now.

Which side lengths form a right triangle?

Answers

Answer:

B

Step-by-step explanation:

1^2+8^2=[tex]\sqrt 65\\[/tex]

PLEASE PLEASE HELP HELP PLEASE

Answers

Answer:

1. product 2. difference 3. quotient 4. sum 5. dividend

Determine the geometric mean of 11 and 8.

Answers

Answer:

[tex]\sqrt{88}[/tex]

Step-by-step explanation:

The geometric mean of 11 and 8 is equal to [tex]\sqrt{88}[/tex].

According to the question it is clear that we have to calculate the geometric mean of two positive numbers 11 and 8.

The geometric mean of two positive numbers a and c is the positive number b in such a way that it satisfies the condition

[tex]\frac{a}{b}=\frac{b}{c}[/tex]

The geometric mean of a and b is √ab if a and b are both positive numbers and it will be −√ab if a and b are negative numbers.

The geometric mean is the positive square root of the product of two numbers.

For a square the geometric mean of two numbers a and b, is the length of one side of a square whose area is equal to the area of a rectangle with the sides of a and b lengths.

If we talk about the n numbers then the geometric mean is the nth root of the product of n numbers. If n positive values are given then the geometric mean is the nth positive root of the product of that n numbers.

So, the geometric mean is equal to [tex]\sqrt{a.b}[/tex]

Here, a = 11 and b = 8

The geometric mean of this is equal to = [tex]\sqrt{11.8}[/tex] = [tex]\sqrt{88}[/tex]

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graph x<2/9 on a number line

Answers

Answer:

The line should begin on the right side 2 dashes (the small lines tht go throught the number line. There are 9 dashes between each whole  number.)

Then the line should go left because it says x is less than 2/9. (which is right)

The line segment you should choose is the one with the open circle with an arrow going to the left.

<---O (looks like this lol.)

Please please help I will give brainliest

Answers

Answer:

67

4*4*4=64

64+3=

67

THE ANSWER IS 67!!!!!!

(5x-8)
+
(2x+19)
Find the value of x.
OA.5
B.7
C.9
D.11

Answers

Answer:

x=9 option C

Step-by-step explanation:

explanation above

Please mark me as brainlist

The surface area of a rectangular prism is increased by a factor of 16.
By what factor is the volume of the figure increased?
O4
O 8
O 32
O 64

Answers

Answer:

C. 32

Explanation:

The square-cube law states that "When an object undergoes a proportional increase in size, its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier." This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.

Please give Brainliest

Works Cited:

https://en.wikipedia.org/wiki/Square%E2%80%93cube_law#:~:text=The%20square%E2%80%93cube%20law%20can,the%20cube%20of%20the%20multiplier.

The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.

What is scale factor?

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

The square-cube law states that "When an object undergoes a proportional increase in size,

its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier.

" This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.

Hence, The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.

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2 A town park has two biking trails. Marsh Trail is 5 miles long. Woodland Trail is
2 miles long. How much longer is Marsh Trail than Woodland Trail?
Show your work.
How do I show my work and what is the answer

Answers

Answer:

25/10

Step-by-step explanation:

Make the fractions improper by multiplying the whole number by the denominator and then adding the numerator (if this makes sense).

This makes 5x10=50+3=53/10

Do the same for the second fraction. 2x5=10+4=14/5

Then make the denominators the same, and in this case all you need to do is multiply both sides of 14/5 by 2, so that makes 28/10.

Now, just take it away.

53/10-28/10=25/10, which can be then simplified into 2 1/2 or 5/2.

A square is cut diagonally into two equal parts. If each part has an area of 50 cm^2, then what is the perimeter of each part?

I tried it isn't 30 cm

Answers

Answer:

30cm

Step-by-step explanation:

Given data

When are square is cut diagonally into two parts

The resulting shape is a triangle

hence the area of the square = 50+50 = 100cm^2

The length of each side of the square = √100= 10cm

likewise the diagonal of the square = 10cm

Hence the perimeter of the resulting triangle= 10+10+10= 30cm

Paki answer po fi d the value of k mentally​

Answers

Answer:

We have 5 equations where we want to find the value of k. To find the value of k first solve the term that is multiplicating k, and when we know the term, we can divide both sides to isolate k in one side of the equation.

1) 30 = k*(15/4)

To solve this, we can just multiply by (4/15) in both sides, so we get:

30*(4/15) = k*(15/4)*(4/15)

(30/15)*4 = k

2*4 = k

8 = k

2) 360 = k*√36

Here you need to remember that:

6*6 = 36

then √36 = 6

We could just replace that in the equation:

360 = k*6

now let's divide both sides by 6.

360/6 = k*6/6

60 = k

3) 64 = k*(4²)*(2²)

Here we need to remember that:

4² = 16

2² = 4

We can replace these in the equation to get:

64 = k*16*4

and 4*16 = 64

then:

64 = k*64

Now let's divide both sides by 64.

64/64 = k*64/64

1 = k

4) 100 = k*(25)*(4)

Here we know that 4*25 = 100

So replacing that in the equation we get a similar expression to the above one.

100 = k*100

Now let's divide both sides by 100

100/100 = k*100/100

1 = k

5) 6 = k*3

Here just divide both sides by 3.

6/3 = k*3/3

2 = k

please help!
In right triangle ABC, angle C is a right angle, AB = 13, and BC = 5.

What is the length of AC?

Answers

Answer:

Step-by-step explanation:

AC=[tex]\sqrt{13^{2} -5^{2} }[/tex]

    =12

Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she
drinks in a week?
There are 16 cups in a gallon.

Answers

Answer:

Katie drinks 56 cups (3.5 gallons) of water in one week.

Step-by-step explanation:

16 - 0.5 (1/2) = 0.5 (1/2)

16 - 1/2 = 8

8 x 7 days (1 week)

= 56 cups

Katie drinks 56 cups (3.5 gallons) of water in one week.

how do I solve this ​

Answers

Answer:

113

Step-by-step explanation:

DQ= 180-112= 68

and sum of ang in quad add to 360 so

lets call what we have to find x

so x+ 68+56+123= 360

x+247=360

x= 113

Could someone please tell me what this means? Like is it a/6 - 1/6?

Answers

Answer:

Yes, this is similar to [tex]\frac{a}{6} - \frac{1}{6}[/tex]

Answer:

yes

Step-by-step explanation:

Given

[tex]\frac{a-1}{6}[/tex]

Then each term on the numerator is divided by 6, that is

= [tex]\frac{a}{6}[/tex] - [tex]\frac{1}{6}[/tex]

Desmond spends $800 per month on fixed expenses. Desmond earns $10,00 per hour,
How many hours does Desmond need to work each month to spend 50% of his/her income
on fixed expenses?

Answers

Answer:  160 hours

============================================================

Explanation:

He earns $10.00 an hour. Let x be the number of hours worked in a month. So 10x represents how much he earns after working x hours.

If he spends $800 per month on fixed expenses, and wants this to be 50% of his total earnings, then this must mean that the other 50% is for other things (eg: spending on a vacation or putting it to savings). So his goal is to earn 800+800 = 1600 dollars per month.

Set 10x equal to this and solve for x

10x = 1600

x = 1600/10

x = 160

He needs to work 160 hours a month.

-------------------------------

Extra info:

Divide 160 over 4 (the approximate number of weeks in a month) and we see that he'll need to work 160/4 = 40 hours a week

If he only works Monday through Friday, that's 5 days of the week. So he'll put in 40/5 = 8 hours per day.

So his goal of working 160 hours per month is reasonable. Keep in mind that this doesn't include factors like him missing time from work due to being sick (unless he has paid sick leave).

I really need someone's help please!

Answers

Answer:

Felipe subtracted 3x from both sides of the equation.

Answer:

-2

Step-by-step explanation:

first, you will subtract the 2x from 3x then take 6 away from - 8 so it would be 8 and subtract it from 6  because of where the = is and get your answer

Which of the following best describes the solution to the system of equations below?
6x + 5y=8
6x + 5y=15

A. The system of equations has infinitely many solutions.
B. The system of equations has exactly one solution where x=0 and y =8/5
C. The system of equations has no solution.
D. The system of equations has exactly one solution where x = 8 and y= 15.

Answers

Answer:

the correct answer is C the system of equations has no solution.

Half of Ethan string is equal to 2/3 of Kayla stream the total length of the string is 10 feet how much longer is Ethan string Kayla string

Answers

Answer:

10/7 feet

Step-by-step explanation:

Let e = Ethan

k = Kayla

The following equations can de derived from the equation :

1/2 e = 2/3k

multiply both sides of the equation by 2

e = 4/3k --- 1

e + k = 10 --- 2

Substitute for e in equation 2

4/3k + k = 10

7/3k = 10

multiply both sides of the equation by 3/7

k = 30/7

Substitute for k in equation 1

e = (4/3) x 30/7 = 40/7

difference in length = 40/7 - 30/7 = 10/7

6 74/500 as a decimal (giving another chance for brainliest)

Answers

Answer:

6.148

Step-by-step explanation:

I need a lot of help please ):
And if u don’t know the answers do not comment anything because i'm really looking for help!

Answers

Answer:

The answer are

CX=10/3

ML=76

Step-by-step explanation:

NUMBER 4

We know that the averages are divided 1 to 2 by the base

[tex]then \: \\ xc = \frac{1}{3} xf \\ = \frac{1}{3} \times 1 0 = \frac{10}{3} [/tex]

NUMBER 5

[tex]ml = \frac{2}{3} mr \\ then \\ 10x - 4 = \frac{2}{3} (12x + 18) \\ 30x - 12 = 24x + 36 \\ 6x = 48 \\ x = 8 \\ then \\ ml = 10 \times 8 - 4 = 76[/tex]

Enter the correct answer in the box.
What is the standard form of function f?

[tex]f(x)=4(x+6)^2+5[/tex]

Substitute numerical values into the equation for a, b, and c.

[tex]f(x)=ax^{2} +bx+c[/tex]

Answers

Answer:

f(x) = 4x² + 48x + 149

Step-by-step explanation:

Given

f(x) = 4(x + 6)² + 5 ← expand the factor using FOIL

     = 4(x² + 12x + 36) + 5 ← distribute parenthesis by 4

     = 4x² + 48x + 144 + 5 ← collect like terms

     = 4x² + 48x + 149 ← in standard form

Answer:

Have a great rest of your day ;)

Step-by-step explanation:

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2

Answers

Answer:

(-2.5, 7.5)

Step-by-step explanation:

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(−9, −1), B(11, 9); 3 to 2

Using the formula for calculating the mid point segment expressed as;

X = ax1+bx2/a+b

Y = ay1+by2/a+b

Given

x1 = -9, y1 = -1, x2 = 11, y2 = 9, a = 3 and b = 2

Substitute

X = 3(-9)+2(11)/2

X = -27+22/2

X = -5/2

X = -2.5

Similarly

Y = 3(-1)+2(9)/2

Y = -3+18/2

Y = 15/2

Y = 7.5

Hence the required coordinate point is (-2.5, 7.5)

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Give the approximate temperature at which it is desirable to heat each of the following iron-carbon alloys during a full anneal heat treatment (a) 0.25 wt% C (b) 0.45 wt% C (c) 0.85 wt% C (d) 1.10 wt% C. C [tolerance is +/-596] C [tolerance is +/-596] C [tolerance is +/-596] C [tolerance is +/-5%] Click if you would like to Show Work for this question: pen Show Work qizlet according to industry rules, member firms must charge customers fair commissions or fair prices after taking into account all of the following circumstances except: Which of the following is a true statement? a. Composition (aggregation) is an "is-a" relation. b. A derived class can redefine the member functions of a base class, but this redefinition applies only to the objects of the derived class. c. The private members of a base class are private to the base class. The derived class can directly access them. d. The public members of a base class can only be inherited either as public or private by the derived class. e. None of the answers Give an example of a group in which all non-identity elements having infinite order. Also give an example of a group in which for every positive integer n, there exist an element of order n. In 1988 and 1989, the Pennsylvania legislature amended its abortion control law. The changes included requiring a 24 hour waiting period for the procedure and that a married woman must notify her husband that she intends to have an abortion. In a 5-4 ruling, the Court upheld most of the Pennsylvania laws because they did not create a "substantial obstacle" to a woman seeking an abortion. This became known as the undue-burden test.Which of the following statements best summarizes the relationship between the case described in the scenario and Roe v. Wade (1973)?The decision in the case above upheld Roe v. Wade (1973), but created a new standard to determine if the state was interfering with a woman's right to choose HELP PLSSS DUE TODAY fill in the blank. the ________ describes how individuals use the groups and organizations they are members of to define themselves. Which of the following statements is true about making quick turns when your car is equipped with a ABS?-it is always better to turn into oncoming traffic then to turn off the road-turn the wheels in the direction opposite the one you want to go-you can turn while you are breaking without skidding-you should only steer when you do not have the brake pedal pressed 7.1) compute the following laplace transform by the integral definition. l{3e3t3t 3} an unknown acid, hb, has a grxn of 15.0 kj/mol at 298 k. what is the ka of hb? determine whether the statement is true or false. {3} {1, 3, 8} Which of the following graphics would be best suited for showing the relative sizes of parts that make up a whole? a student group completes the forces in motion lab as seen below. with each data trial, the students put more and more mass on the car that is rolling on the table making it successively heavier each time and increasing the friction on the track. there is relatively little error in the acceleration measurements. what two things will students notice about the graph? TRUE/FALSE. Not every linear transformation from Rn to Rm is a matrix transformation. If a particular ore contains 56.5 alcium phosphate, what minimum mass of the ore must be processed to obtain 1.00 kg of phosphorus? us $ and the euro (): us goes into deep recession, europe does not a patient has suffered a femoral shaft fracture in an industrial accident. what is an immediate nursing concern for this patient? a. hypovolemic shock b. infection c knee and hip dislocation d. pain resulting from muscle spasm Pls help 20 pointsIf the blueprint is drawn on the coordinate plane with vertices (1, 5) and (11, 15) for the corners labeled with red stars, would that be an accurate representation of the length of the diagonal of the square C? Show your work and explain your reasoning. (4 points2 points for finding the length of the diagonal; 2 points for explanation) 1 square unit = 25 feet the area of the square is 2500. If I go through the 1st 10 difference in mean data sets in Statkey, the p values for two sided tests that I got from the randomization tests were .05,0,.0058,.05,.01,6e-4,.0075,.204,3.6e-4,.036 and 0a. Identify which of the tests are interesting at a false discovery rate of 0.01-Q.b. Using only the first 7 p values, test at .05. Which of the following statements shows an understanding of assessment findings related to stroke?A."A stroke should only be suspected when one arm is paralyzed, not weak."B."If one arm is weak, a stroke should be suspected."C."For a stroke to be suspected, both arms must be equally weak."D."If one arm is weak, stroke should be suspected only if the blood pressure is also elevated."