Answer:
x = -2, y = -4
Explanation:
Take the first equation- -2y = 2 - 3x
Arrange it first-
-3x + 2y = -2
Multiply is by 5 on both sides
5(-3x + 2y) = 5(-2)
-15x + 10y = -10
Take the second equation- -5y = 10 - 5x
Arrange it-
-5x + 5y = -10
Multiply is by 2 on both sides
2(-5x + 5y) = 2(-10)
-10x + 10y = -20
Subtract second equation from the first one-
-15x + 10y = -10
- -10x + 10y = -20
= -5x = 10
-5x = 10
x = 10/(-5)
x = -2
Substitute the value of x in Equation 1
-2y = 2 - 3(-2)
-2y = 2 + 6
-2y = 8
y = 8/(-2)
y = -4
Hope it helps ;)