Question

1.Refer to the system of linear equations shown below. Which of the following statements gives the best choice for multiplying to solve this system using the elimination method?
3x−6y=4

6x+11y=−2

(1 point)

Multiply the second equation by 12, so the x-variables are eliminated.

Multiply the first equation by 2, so the x-variables are eliminated.

Multiply the first equation by −11 and the second equation by 6, so the y-variables are eliminated.

Multiply the first equation by −2, so the x-variables are eliminated.
2.Given the following system, what should the second equation be multiplied by so that x is eliminated?

4x−y=9

x+3y=12

(1 point)

13

−4

−13

4
3.Solve the following system by the elimination method.

4x−2y=16

3x+6y=−18

(1 point)

(1, −5)

(3, −2)

(2, −4)

(0, −3)
4.Solve the system by the elimination method.

3x−5y=4

−9x+3y=−24

(1 point)

(8, 4)

(1, −1)

(3, 1)

(2, −2)
5.Manny says he should multiply the first equation in the system of equations below by 3 and the second equation by 2, then add to eliminate x. Is there a more efficient way to solve this system? Explain your answer.

−2x+y=15

3x+4y=−12

(1 point)

No, there isn't a more efficient way to solve this system.

Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.

Answer 1

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