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 the x-terms. Is there a more effective way to solve this system? Explain your answer.

Question

−2x+y=15
3x+4y=−12
(1 point)
Responses

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 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.

No, there isn't a more efficient way to solve this system.
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 x, then solve for y.
Yes, a more efficient way is to multiply the first equation by -4, add to eliminate x, then solve for y.

Answer 1

Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x. This is because multiplying the first equation by 4 would result in an equation with a coefficient of 4 for y, and adding the two equations would eliminate y. Solving for x after eliminating y would give a more straightforward solution.