Answer:
x = -6; y = 3
Step-by-step explanation:
1. Make Ax + By = C into two equations.
3x + 5y = -3
(1) 5y = -3x - 3
y = -3/5x - 3/5
(2) 3x = -5y - 3
x = -5/3y - 1
2. Insert (1) and (2) into -3x + 2y = 24.
(1) -3x + 2(-3/5x - 3/5) = 24
-3x - 6/5x - 6/5 = 24
-21/5x = 126/5
x = 126/5 * -5/21
x = -6
(2) -3(-5/3y - 1) + 2y = 24
5y + 3 + 2y = 24
7y = 21
y = 3
