Two systems of equations are shown below:

System A
System B
3x + 2y = 3
−x − 14y = 1
−2x − 8y = −1
−2x − 8y = −1


Which of the following statements is correct about the two systems of equations? (1 point)

The value of x for System B will be one−third of the value of x for System A because the coefficient of x in the first equation of System B is one third times the coefficient of x in the first equation of System A.
The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.
They will have the same solution because they represent the same lines when plotted on the coordinate axes.
They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.

Answers

Answer 1

Answer:

The two linear equations represented in system A as :

3 x + 2 y =3   -------(1)

- 2 x - 8 y = -1  ------(2)

(1) × 2 + (2) × 3 gives

⇒ 6 x + 4 y - 6 x - 24 y = 6 -3

⇒ - 20 y = 3

⇒ y =

Putting the value of y in equation (1), we get

Two linear equation represented in system B is:

3.   -x - 14 y =1

4.   - 2 x - 8 y = -1

-2 ×Equation (3) + Equation (4)=

2 x +28 y- 2 x - 8 y= -2 -1

⇒ 20 y = -3

⇒y =

Putting the value of y in equation (3),we get

As Two system , that is system (A) and System (B) has same solution.

By looking at all the options , i found that Option (D) is correct. The two system will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.


Related Questions

HELP HELP! PLEASEEEE​

Answers

Answer: All of the ones with a positive and negative. If it’s positive and positive or negative with a negative put in the equation, it’ll always equal a positive. Hope that helps!

Answer:

-6 * 7

-8 * 8

11 * (-2)

Step-by-step explanation:

Hope this helps :D

A baseball diamond is 90 feet square (NOT 90 square feet!). Coach Jack Handley runs from first base to second base at 25 feet per second. How fast is he moving away from home plate when he is 30 feet from first base (Problem #3)? How fast is he moving away from home plate when he is 45 feet from first base (Problem #4)? Answers should be expressed in terms of feet per second.

Answers

Answer:

dx/dt = 5√5/2

Step-by-step explanation:

Given:

dx/dt = 25 feet per second

According to Pythagoras theorem:

x² + 90² = y²

We know that x = 30 ft

So,

x² + 90² = y²

30² + 90² = y²

y = 30√10

So,

x² + 90² = y²

By taking differentiate:

2x dx/dt = 2y dy/dt

[x/y][dx/dt] = dy/dt

dx/dt = 5√5/2

How do the values compare? Order the values from least to greatest. -1 1/4 , |-1 3/4-| , 3/4 , -2 1/4 , |1 1/4-| , and |-2 1/4| ​

Answers

Answer:

[tex]-2 \frac{1}{4}<-1 \frac{1}{4} < \frac{3}{4}< |1 \frac{1}{4}|< |-1 \frac{3}{4}| < |-2 \frac{1}{4}|[/tex]

Step-by-step explanation:

Given the numbers:

[tex]-1 \frac{1}{4} , |-1 \frac{3}{4}| , \frac{3}{4} , -2 \frac{1}{4} , |1 \frac{1}{4}| , and |-2 \frac{1}{4}|[/tex]

To find:

The ascending order of the given numbers.

Solution:

First of all, let us have a look at the definition of absolute value function i.e. Modulus function.

[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]

i.e. if the numbers is negative, then a negative sign is added to make the number positive.

Now, let us have a look at the given numbers with modulus one by one.

[tex]|-1 \frac{3}{4}| = -(-1 \frac{3}{4})=1 \frac{3}{4}\\ |1 \frac{1}{4}| = 1 \frac{1}{4}\\|-2 \frac{1}{4}| = -(-2 \frac{1}{4})=2 \frac{1}{4}[/tex]

Smallest numbers are with negative signs.

And negative numbers with larger magnitude are smaller.

Therefore, the ascending order will be:

[tex]-2 \frac{1}{4}<-1 \frac{1}{4} < \frac{3}{4}< |1 \frac{1}{4}|< |-1 \frac{3}{4}| < |-2 \frac{1}{4}|[/tex]

Answer:

Step-by-step explanation:

- 2 1/4 - 1 1/4 3/4 | 1 1/4| | - 1 3/4 | - 2 1/4 |

PLEASE HELP ASAPPPP!!???

Answers

Answer:

I dont know what does the long question requires.If is the question of 17 problem then i have explained and solved .If not then I dont know what to do.

which is not a justification for the proof
a. pieces of right triangles similarity theorem
b. side side side similarity theorem
c. substitution
d. addition property of equality ​

Answers

Answer: B.Side side side similarity theorem

Step-by-step explanation:

Hope this helps <3

^^^^ B.Side side side similarity theorem is correct

i just took the test and it was right!

Help please I will mark u as brainliest

Answers

Answer:

The smallest angle is 80 and the largest angle is 180.

Step-by-step explanation:

Hope this helps! :D

Plz mark me as brainliest!

Solve x2 – 12x + 11 = 0 by completing the square.
Question 7 options:

x = –1


No Real Solutions


x = 11 and x = 1


x = 11

Answers

Answer:

Step-by-step explanation:

x^2 – 12x + 11 = 0

(x-11)(x-1)

x= 11, 1 completing the square

Find the value of x in the isosceles trapezoid below

Answers

Umm maybe u forgot to attach the picture we got similar question here hope it helps

A school is taking a group of students on a field trip to the aquarium. Including chaperones, 132 people will be going on the field trip. Found out it's 110 students. The ratio of shark bookmarks to seal bookmarks to the students is 3:2. How many students receive shark bookmarks?

Answers

Given:

Total people = 132

Total students = 110

The ratio of shark bookmarks to seal bookmarks to the students is 3:2.

To find:

The number of students who receive shark bookmarks.

Solution:

Let the total number of students who receive shark bookmarks be 3x and number of students who receive seal bookmarks be 2x.

Total number of students is 110. So,

[tex]3x+2x=110[/tex]

[tex]5x=110[/tex]

Divide both sides by 5.

[tex]x=22[/tex]

Now,

Number of students who receive shark bookmarks [tex]=3x[/tex]

                                                                                   [tex]=3(22)[/tex]

                                                                                   [tex]=66[/tex]

Therefore, 66 students receive shark bookmarks.

If Delta AGM sim Delta KXD , find the value of x.

Answers

Here’s all my work! Sorry my handwriting isn’t good

For ΔKXD, x = 21

Similar triangles:

"The triangles that have corresponding sides in proportion to each other and corresponding angles are equal."

For given question,

ΔAGM is similar to ΔKXD

This means,

[tex]\frac{AG}{KX} = \frac{GM}{XD} = \frac{AM}{KD}[/tex]

Consider,

⇒ [tex]\frac{AG}{KX} = \frac{GM}{XD}[/tex]

⇒ [tex]\frac{32}{x+3} = \frac{36}{x+6}[/tex]

⇒ [tex]32\times (x+6) = 36\times (x+3)[/tex]

⇒ [tex]32x+192=36x+108[/tex]

⇒ [tex]4x = 84[/tex]

x = 21

Learn more about similar triangles here:

https://brainly.com/question/14965331

#SPJ2

What is the measure of

Answers

90 degrees to the left

PLEASE HELP ASAP
A realtor found a home for a couple that will require a monthly loan payment of $1460. If the lender insists that the buyer's monthly payment not exceed 28% of the buyer's monthly income
find the minimum monthly income required by the londer. Simplify your answer.

Answers

Answer:

$5214.29 or $5214

Step-by-step explanation:

Set up a ratio table:

[tex]\frac{1460}{x}[/tex]=[tex]\frac{28}{100}[/tex]

You need you multiply the monthly loan by 100, then divide by 28.

(1460 · 100) ÷ 28

146000 ÷ 28

5214.28571

Round to the nearest cent:

$5214.29

Unless by simplify it means to the nearest dollar:

$5214

What is -6/5 divided by -1/2

Answers

Answer:

.6

Step-by-step explanation:

Answer:

18/5, 3 3/5

Step-by-step explanation:

Write 41/10 as a fraction

Answers

Answer:

41/10

Step-by-step explanation:

Answer:

Based on what you asked i think the answer would be 4 1/10

Step-by-step explanation:

If bc+ad=b solve for a

Answers

Answer:

bc+ad=b

or,ad=b-bc

or,a=(b-bc)/d

Answer & Step-by-step explanation:

Ok, so to solve for a in this equation means that we need to write the equation from the point of view of a, instead of b, which is the way it is currently written.

bc + ad = b

The first thing to do is isolate a, we do this by dividing every term in this by a.

a = bc/a + ad/a + b/a

a = d(bc + b)

Now, we need to divide d from the equation.

FINAL ANSWER: a = b/d - bc/d

Jordan went shopping last weekend and bought a pair of shoes. The shoes were originally priced at $124.00, but are now on sale for 30% off the regular price. The sales tax is 7%.

What is the sales tax?

Answers

Answer:

8.68

Step-by-step explanation:

just multiply 124.00 times 0.07 and that's it

27
Karim (22 years) tells his brother Ziad (8 years).
«l haven't given you a gift for your birthday, but I'll make it up to you. The year when my age will be
triple yours. I'll give you a wonderful gift».
After making his calculations, Ziad tells his brother :
It will cost you nothing». Explain why.
(solve it in an equation of 1 unknown)​

Answers

Answer:

Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift

Step-by-step explanation:

Equations

Let's make:

x = the number of years from now

Karim now is 22 and Ziad is 8. x years from now Karim will be

22 + x years old and Ziad will be

8 + x years old.

Karim will give Ziad a wonderful gift when:

22 + x = 3(8 + x)

22 + x = 24 + 3x

Solving:

x = -1

This means that Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift

Which of the following statements about rational numbers is false?

A. Every natural is a whole number, integer, and a rational number.

B. Every integer is a rational number.

C. A natural number is also a whole number.

D. Every rational number is also an integer

Answers

Answer:

D. Every rational number is also an integer

Step-by-step explanation:

Some rational numbers are integers, but not all of them

Amanda is practicing her dives off the diving board. When she dives into the water, the path her body makes and where she resurfaces can be modeled by the equation 0=2−8+7 where is the number of horizontal feet she travels. Solve the equation to find the number of feet she will travel before coming back to the surface of the water.

Answers

Answer:

The number of feet she will travel back is 1 or 7 feet

Step-by-step explanation:

Here, we need to solve the quadratic equation

That will be as follows;

0 = x^2 -8x + 7

x^2-x-7x+ 7 = 0

x(x-1)-7(x-1) = 0

(x-1)(x-7) = 0

x = 1 or 7

The number of feet she will travel before coming back to the surface of the water is 1 or 7 feet

What is the y intercept?


What is the slope?

Write the equation of the line to represent situation.

Answers

Answer:

y int is 20

slope = 2

equation: y = 2x + 20

I need the measure of angle 6

Answers

Answer:

125°

Step-by-step explanation:

x + 24 is equal to 1.

6 is equal to 4x + 1

1 and 4x + 1 = 180°

x + 24 + 4x + 1 = 180

4x + x + 24 + 1 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

5x/5 = 155/5

x = 31

(angle) 6 = 4x + 1

(angle) 6 = 4(31) + 1

(angle) 6 = 124 + 1

(angle) 6 = 125°

Which of following is the graph of y -(X+ 1)-37

Answers

Answer:

The third graph(left to right)

Step-by-step explanation:

the vertex would be (-1,-3) from the formula.

30/90= ?/18 please help i don’t know how to do this.

Answers

Answer:

6

Step-by-step explanation:

30/90 is 1/3.   1/3 is equal to 6/18

Hope that helpsssss :DD

Answer:

6

Step-by-step explanation:

30/90 = 1/3

If you multiply 6 by 3, you get 18

Solve for X showing every step​

Answers

Answer:

x = 1

Step-by-step explanation:

3(x + 6) -5 = 16

You want to first add the 5 (*flipping the sign)  over to the 16

making your equation ...

3(x +6) = 21

Then you want to distribute the 3 to x and 6

making you equation

3x + 18 = 21

Then you want to subtract the 18 (*flipping the sign) to the right side

making the equation....

3x = 3

Lastly, divide the 3 on the left to the 3 on the right making the answer 1

x = 1

An art teacher mixes 20 ounces of yellow paint with 8 ounces of red paint. How many ounces of yellow paint would she need to mix with 18 ounces of red paint to maintain the same proportion

Answers

30. Answer if u place the equation into a fraction: example 20/8 yellow over red. Next let’s put the other amount into a fraction, we don’t know yellow so for the fraction we will put x: x/18. For our next step we will then cross multiply 20 by 18 and 8 by x getting 8x=360 from there you divide for x getting 45 yellow.

The total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion is 45 ounces and this can be determined by using the unitary method.

Given :

An art teacher mixes 20 ounces of yellow paint with 8 ounces of red paint.

The following steps can be used in order to determine the total amount of yellow paint:

Step 1 - The unitary method can be used in order to determine the total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion.

Step 2 - Let the total amount of yellow paint she needs be 'x'.

Step 3 - So, the value of 'x' can be calculated as:

[tex]x = \dfrac{18}{8}\times 20[/tex]

Step 4 - Simplify the above expression.

[tex]x = 45\;{\rm ounces}[/tex]

The total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion is 45 ounces.

For more information, refer to the link given below:

https://brainly.com/question/25834626

4x+1 = 13 what number x
would make the equation true

Answers

Answer:

3

Step-by-step explanation:

At a furniture store, the employees earn a 2.5% commission on every sale they make.
If Robert made $8,850 in sales one week, how much money in commission did he earn?
Francisca made $279 in commission that same week. How much money in sales did she make?

Answers

Step-by-step explanation:

Let x be the money made in sales. Let y be the money made in commissions.

First, convert 2.5% to a decimal.

2.5% = 0.025

Equation:

0.025x = y

Robert:

0.025(8850) = y

y = $221.25

Francisca:

0.025x = 279

x = 279/0.025

x = $11,160

If Jacob has 12 gallons of soda for a Christmas party, how many pints of soda does he have?

Answers

12 gallons = 96 us liquid pints.

What the expression that equivalent to (72 - 5) - (3.0 — 2)?

Answers

Answer:

The type of relationship expressed below is an INEQUALITY

Step-by-step explanation:

To solve it (though it isn't asked for but may help in the future) you would have to combine like terms.

Add 3.0 and 2, you get 5.

5 isn't greater than 10 so this inequality would be incorrect.

Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hours. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. Which expressions represent the total weekly wages of both Rita and Tina?
Rita and Tina's total weekly wages can be represented as
,
, or
.

Answers

Answer:

11(t+r)+35

Step-by-step explanation:

they make 11 dollars an hour so you have to multiply 11 by t hour an r hours. then only one of them worked overtime so you add 35.

Answer:

See image

Step-by-step explanation:

Plato

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