Solve the linear system of equations

8x-4y=20 5x-8y=62

x=

y=

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