Answer:
x = -2
x = -9
Step-by-step explanation:
The linear system is:
8x - 4y = 20 ⇒ (1)
5x - 8y = 62 ⇒ (2)
To solve the system multiply equation (1) by -2 to make the coefficients of y equal in values and different in signs, then add the resulting equation with equation (2)
∵ -2(8x) + -2(-4y) = -2(20)
∴ -16x + 8y = -40 ⇒ (3)
- Add equation (2) and (3)
∴ -11x = 22
- Divide both sides by -11
∴ x = -2
Substitute the value of x in equation (1) or (2)
∵ 8(-2) - 4y = 20
∴ -16 - 4y = 20
- Add 16 to both sides
∴ - 4y = 36
- Divide both sides by -4
∴ y = -9
