Answer:
y = -3
Step-by-step explanation:
3x + 4y = -6 then, 3x = -4y - 6, x = (-4y - 6)/3
5x + 2y = 4
substitute for x:
5(-4y - 6)/3 + 2y = 4
simplify:
(-20y - 30)/3 = 4 - 2y
-20y - 30 = (3)(4 - 2y)
-20y - 30 = 12 - 6y
-14y = 42
y = -3
check:
5x + 2(-3) = 4
5x = 10
x = 2
3(2) + 4(-3) = -6
6 - 12 = -6
-6 = -6
5(2) + 2(-3) = 4
10 - 6 = 4
4 = 4
