Use substitution to solve the system. 5X+3Y=22 Y=2X-11

Answers

Answer 1

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in two steps, Comprehending, and Solving/Checking our answers. I'll be starting off with Comprehending.

Comprehending

We can solve the problem with substitution by finding out what one variable is equal to in terms of the second variable.

This is what we would call System of Equations where we need to find the point where the lines hit.

We can do this either with Graphing, or Algebra. In this case, we need to use substitution, so it has to be Algebraically.

Now that we know how to solve it/what to do, we can start solving.

Solving

We can solve the problem by first replacing y with its correct value in terms of x. Since we know the two equations, we can begin solving.

[tex]y=2x-11\\5x+3y=22[/tex]

We can solve it by inserting our y value into the y value of the second equation.

[tex]5x+3(2x-11)=22\\5x+6x-33=22\\11x=22+33\\11x=55\\x=5[/tex]

Now that we know our x value, we can solve for y by inserting it into an equation.

[tex]y=2(5)-11\\y=10-11\\y=-1[/tex]

Now that we have solved, we have gotten out point of (5,-1)

We can test this by inputting it into an equation. (Any of the latter).

[tex]5(5)+3(-1)=22?\\25-3=22?\\22=22[/tex]

Now that we have checked our answer and it appears correct, we have gotten our answer of (5,-1).

Answer 2

Answer:

(5, - 1 )

Step-by-step explanation:

5x + 3y = 22 → (1)

y = 2x - 11 → (2)

Substitute y = 2x - 11 into (1)

5x + 3(2x - 11) = 22 ← distribute parenthesis and simplify left side

5x + 6x - 33 = 22

11x - 33 = 22 ( add 33 to both sides )

11x = 55 ( divide both sides by 11 )

x = 5

Substitute x = 5 into (2)

y = 2(5) - 11 = 10 - 11 = - 1

solution is (5, - 1 )


Related Questions

1 2 3 4 01 6 7 8 00 9 A laptop has a listed price of $590.99 before tax. If the sales tax rate is 6.25%, find the total cost of the laptop with sales tax included Round your answer to the nearest cent, as necessary. ​

Answers

Answer: $627.93

Step-by-step explanation:

If tax is 6.25%

6.25% of $590.99= $36.94

Price + tax = total cost

Total cost = $590.99 + $36.94 = $627.93

50 point question. Please help my math grade is way to low

Answers

1/4g = 1/2h 1/2g = 1h 2h = 1g 3h = 1 1/5 g
Hope this helps + hopes this is correct

Answer:

1 1/2

Step-by-step explanation:

it takes 15 min to leak 1/8 just multiple the min to 3 hours which then you'll get 1 1/2 gallons that will leak at 3 hours

What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Cab?

Answers

Step-by-step explanation:

Red taxi : y = 2x + 2

Green taxi : y = x + 5

Y are the costs of a ride, X are the miles of a ride.

The y-intercepts are the cost of just getting into a cab.

So, that is $2 for a red cab and $5 for a green cab.

Every mile with a red cab costs $2, while every mile with a green cab costs $1.

Hope this helps :)

Which expression is an equivalent expression for 2(6y – 4)?
A. 8x – 2
B. 12y – 8
C. 8y
D. 12y + 4

Answers

Answer:

B.

Step-by-step explanation:

Because you have to multiply 6y by 2 that is 12y and you have to multiply -4 by 2 that is - 8, you put it together and it's 12y - 8.

B, using distribution you would multiply 2 by 6y and get 12y, then 2 by -4 and get -8

Triangle ABC has perimeter 22 cm.
AB = 8cm
BC = 5cm
By calculation, deduce whether triangle ABC is a right-angled triangle.

Answers

Answer:

Step-by-step explanation:

A = 8 cm

B = 5 cm

C = 22 - 8 - 5 = 9 cm

Use the Pythagreom Theroem (a^2 + b^2 = c^2) if the two sides are equal to one another than it is a right triangle.

8^2 + 5^2 = 9^2

64 + 25 = 81

89 = 81

89 does not equal 81, so this is not a right triangle.

În figura alăturată, este un pătrat cu = 12 cm, punctul este mijlocul lui (), ∩ = {}, iar
∩ = {}

Answers

Answer:

yes

Step-by-step explanation:

In the equation y=14x what is the constant of proportionality.

Answers

14

Step by step explanation:

What is the degree of angle o?
Show work

Answers

180 - 78 = 102 hope this help
180-78 and you get the degree for angle n and use 180-24-n then you’ll get the degree of angle o

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best. Please do it quick, please do all :D

Answers

Answer:

1. C) .4

2. B) 2 1/4

3. D) 3 5/8

Step-by-step explanation:

1. The question is asking what fraction (represented in decimal form) did Maria spend. To find this, divide 18/45 because Maria spent $18 of her $45. When you complete this calculation, you get .4

2. When you look at where the line ends, it's at the first quarter line after the 2, meaning that the line is 2 and one quarter or 2 1/4

3. 8 times 3 is 24, which is the closest multiple of 8 to 29. However, since there is still 5 left over (which still needs to be divided by 8) it would be represented by the mxed fraction.

solve for c.

c + 3/8 = 1 1/3

Enter your answer as a fraction in simplest form.

Answers

Answer:

Let's solve your equation step-by-step.

c+

3

8

=1

1

3

Step 1: Simplify both sides of the equation.

c+

3

8

=

4

3

Step 2: Subtract 3/8 from both sides.

c+

3

8

3

8

=

4

3

3

8

c=

23

24

Answer:

c=

23

24

ΔABC is an equilateral triangle with AD perpendicular to BC. Prove that ΔADB ≅ ΔADC.

Answers

Step-by-step explanation:

An equilateral triangle means all sides are congruent.

AB≅BC≅AC

All angles are also congruent.

∠ABC≅∠BCA≅∠CAB

AD being perpendicular makes it a bisector of both BC and ∠CAB.

BD≅CD

∠BAD≅∠CAD

Now, there are multiple ways to prove that ΔADB≅ΔADC. All 3 sides and all 3 angles of both triangles are congruent, so you could do it however you want.

1) ASA (one of the possible ASA combinations)

∠ABD ≅ ∠ACD because this is an equilateral triangleBD ≅ CD because AD bisects BC∠BDA ≅ ∠CDA because AD is perpendicular to BC, both 90°

2) HL (again, one of the multiple possible HL combinations)

AD is perpendicular to BC, creating 2 right trianglesAB ≅ AC because ΔABC is equilateralAD ≅ DA by the reflexive property, it is congruent to itself

There are many more but I won't write them all out.

3 of 5 people were eligible to vote 180 citizens actually voted

Answers

Your answer would be 108
You’re answer would be 108

8+w/4 when w is 16
plz answer it for me plzzz

Answers

Answer:

8+w/4 Putting w = 168+16/4(32+16)/4= 48/4= 12

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Find the quotient. 4/12÷4/12=​

Answers

Answer:

1

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

What is 16 1/2 as an improper fraction.

Answers

Answer: 16_1/2 improperly is simply 33/2.

4.It is your first day on the job. Your supervisor asks you to distribute materials to three job sites. She asks you to take the following to each site: How much of each material do you load on the truck?

Answers

Answer:

27 boxes of nails, 26 boxes of drywall, 46 rolls of insulation, 30 bags of mortar mix

Step-by-step explanation:

Boxes of nails = 4 + 13 + 10 = 27

Boxes of drywall = 6 + 9 + 11 = 26

Rolls of insulation = 18 + 23 + 5 = 46

Bags of mortar mix = 12 + 4 + 14 = 30

Josiah has a loyalty card good for a discount at his local grocery store. The item he wants to buy is priced at $33, before discount and tax. After the discount, and before tax, the price is $30.69. Find the percent discount.
Will mark BRAINLIEST I Promise.

Answers

30.69/33=0.93
Percentage multiplier 0.93
1-0.93= 0.07
0.07*100=7%
Therefore there is a discount of 7%

I NEED HELP AS SOON AS POSSIBLE Which of the following describes the location of the opposite of the number that R represents on this line? vertical number line from negative 6 to positive 6 in increments of 2 is shown. Only the whole even numbers are labeled. A point labeled R is placed on the 2nd tick mark below the 0. At a distance of 4 tick marks above 0 At a distance of 4 tick marks below 0 At a distance of 2 tick marks below 0 At a distance of 2 tick marks above 0

Answers

Answer:

At a distance of 4 tick marks above 0

Step-by-step explanation:

the rate of change is _____ inches of growth per week​

Answers

Answer:

4.5 inches per week

Step-by-step explanation:

Easy conversions

write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y = 3/5x+1

Step-by-step explanation:

y intercept - (0,1), so b=1

Slope = rise/run = 3/5, so m = 3/5

Our Answer is y = 3/5x+1

A loaf of bread that serves six people calls for 1 and 1/2 cups of all purpose flour and 5/6cups of chickpea flour you want to make a loaf of bread so that it will serve nine people how much flour all together will you need

Answers

Answer: 3 cups of flour

Step-by-step explanation:

what is the equation of line that passes through(-6,-3) and is parrelel to the line 5x-3y=9

Answers

Answer:

y+3=5/3(x+6)

Step-by-step explanation:

Since it is parallel to 5x-3y=9, you need to find the slope of that line because then you would find the slope to your line.

5x-3y=9

5x=9+3y

5x-9=3y

y=5/3x-3, and the slope would be 5/3.

Now you can apply point slope form [tex]y-y_{1}=m(x-x_{1} )[/tex] to get an equation.

y+3=5/3(x+6)

Answer: [tex]\frac{5}{3}[/tex]x + 7

Step-by-step explanation:

lily likes to collect records. Last year had 12 records in collection. Now has 15 records. What is the percent increase of ​collection?

Answers

Answer:

25% increase in records

Step-by-step explanation:

25% = 1/4

1/4 of 12 = 3

she got 3 new records, therefore a 25% increase

what is the weight of a square if a triangle weighs 4 grams ​

Answers

Answer:

8 grams

Step-by-step explanation:

Given the formula for area of a triangle versus a square:

Square = bh

Triangle = 1/2bh

A triangle has half of the area of a square, therefore it should weigh half as much. Multiply the weight by 2.

4 * 2 = 8

- b. Yolanda played a new number game with Xavier. She used this equation to generate her response to each number Xavier said: y = x - 2 Describe with words the rule Yolanda uses. Then make a function table a that shows the numbers Yolanda says for four numbers Xavier might say. Use 0 for one of Xavier's numbers and three more numbers of your choosing. Is the function linear? Is it proportional?​

Answers

(a) One possibility is 8.45

Rounded to the nearest integer = 8

Rounded to the nearest tenth = 8.5

And rounding this to the nearest integer = 9

 

(b) The possible numbers are 8.45 to 8.49, inclusively

Answer:

Table is below in explantation

Not proportional

yes, linear

Step-by-step explanation:

We substitute and solve:

TABLE:

X --> Y

0 --> -2 (0-2 = -2)

1 --> -1

2 --> 0

Yes, it is linear, the slope is 1 and is written in slope - intercept form

No, not proportional, the y - intercept is (0, -2) not (0,0)

PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!
How do you graph the solution set to a system of linear inequalities in two variables (pretend you are the teacher and you are teaching me how to graph it)?

Answers

Answer:

Graph both of the line inequalities on the same coordinate graph, and then the overlap will be your answer.

Step-by-step explanation:

An example is attached! The purple-ish on the right would be your solution set.

185/6 helppppppppopppooooooooo meee​

Answers

Answer:

30 5/6

Step-by-step explanation:

185 = 30x6 + 5

Answer:

30 5/6

Step-by-step explanation:

goodluck guyssSana Tama yan

two tanker contains 700 L + 750 mL of milk respective find the maximum capacity of a container which the musical each container exact number of time ​

Answers

Answer:

350L 375ML

Step-by-step explanation:

Let f(x)=cosx. Determine the x-value(s) where the function has a maximum or minimum value on [0,2π).

Answers

Answer:

can u say what subject is that

(0, 1) is a local maxima and (π, −1) is a local minima of the given function.

The given function is f(x)=cos(x).

What is a function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.

Amplitude: 1

Period: 2π

Phase Shift: None

Vertical Shift: None

The coordinates to plot the graph are (0, 1), (π/2, 0), (π, -1),....

To find the x-intercept, substitute in 0 for y and solve for x.

To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (π/2 +πn,0), for any integer n

y-intercept(s): (0,1)

Use the derivative to find the maximum and minimum.

(0, 1) is a local maxima and (π, −1) is a local minima

Therefore, (0, 1) is a local maxima and (π, −1) is a local minima of the given function.

To learn more about the function visit:

https://brainly.com/question/9554035.

#SPJ2

ne ajudemmmm pfvvv ...​

Answers

Answer:

NEED TRANSLATOR

Step-by-step explanation:

ENGLISH PLEASE

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