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Mathematics, 18.12.2020 09:50 sam9043

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? 3xโˆ’6y=4

6x+11y=โˆ’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 โˆ’11 and the second equation by 6, so the y-variables are eliminated.

Multiply the first equation by โˆ’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?

4xโˆ’y=9

x+3y=12

(1 point)

13

โˆ’4

โˆ’13

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

4xโˆ’2y=16

3x+6y=โˆ’18

(1 point)

(1, โˆ’5)

(3, โˆ’2)

(2, โˆ’4)

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

3xโˆ’5y=4

โˆ’9x+3y=โˆ’24

(1 point)

(8, 4)

(1, โˆ’1)

(3, 1)

(2, โˆ’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.

โˆ’2x+y=15

3x+4y=โˆ’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 โˆ’4, add to eliminate y, then solve for x.

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

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