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.