The solution of the given equation x = -6 and y = -4
Combine the equations
8x - 8y = -16 __________(1)
-2x + 6y = -12 __________(2)
From equation 1
8x - 8y = -16
8x = -16 +8y
Divide both side by 8 we get
x = -2 + 4y __________(3)
Put these value of x in the equation 2
-2x + 6y = -12
-2(-2 + 4y) + 6y = -12
4 - 8y + 6y = -12
4 - 2y = -12
-2y = -12 +4
2y = - 8
Dividing both side by 2 we get
y = -4
Put these value of y in equation 1 we get
- 8x - 8(-4) = -16
- 8x = 16 + 32
- 8x = 48
Divied both side by 8 we get
x = - 6