Answer: Solution = (- 3, 2)
Step-by-step explanation:
The system of equations is
6x + 8y = -2
-5x - 7y = 1
We would eliminate x. The first step is to multiply equation 1 by 5 and equation 2 by 6. We have
30x + 40y = - 10
- 30x - 42y = 6
By adding both equations, we have
30x + - 30x + 40y + - 42y = - 10 + 6
30x - 30x + 40y - 42y = - 4
- 2y = - 4
Dividing both sides by - 2,
- 2y/- 2 = - 4/- 2
y = 2
Substitu4ing y = 2 into equation 1, we hav
6x + 8 * 2 = -2
6x + 16 = - 2
Subtracting 16 from bth sides,
6x + 16 - 16 = - 2 - 16
6x = - 18
Dividing both sides by 6,
6x/6 = - 18/6
x = - 3
Solution = (- 3, 2)