Question

Which values for A and B will create infinitely many solutions for this system of equations

Answer 1

Answer:

  A = 6, B = -15

Step-by-step explanation:

In order for there to be infinitely many solutions, the equations must be dependent. That is, one of them must be a multiple of the other. Here, the multiplier is apparently -1.

Comparing coefficients on the left, we see that the bottom equation has an x-coefficient that is the opposite of the one in the top equation. So, to make y-coefficients opposite, the top equation should read ...

  4x -6y = 15 . . . . . A = 6

Carrying that through, the bottom equation should read ...

  -4x +6y = -15 . . . . . B = -15