Question

which linear system has the solution (6, 6)? 4x - 3y = -1 -2x y = -3 x y = 12 3x - 2y = 6----------------------------my choice 3x y = 4 4x - 3y = 1 4x 3y = 0 2x - y = 0

Answer 1

If you would like to find the linear system with the solution (6, 6), you can do this using the following steps:

(6, 6) = (x, y)
x = 6, y = 6

4x - 3y = -1 ... 4 * 6 - 3 * 6 = -1 ... 24 - 18 = -1 ... 6 = -1
-2x + y = -3
_________
x + y = 12 ... 6 + 6 = 12 ... 12 = 12
3x - 2y = 6 ... 3 * 6 - 2 * 6 = 6 ... 18 - 12 = 6 ... 6 = 6

The correct result would be x + y = 12, 3x - 2y = 6.