Use the substitution method to solve this system of equations. choose the correct ordered pair. 2x-y=10. 2x-2y=4

(x, y) = (8, 6)

Step-by-step explanation:

given the 2 equations

2x - y = 10 → (1)

2x - 2y = 4 → (2)

rearrange equation (1) expressing y in terms of x

y = 2x - 10 → (3)

Substitute y = 2x - 10 in equation (2)

2x - 2(2x - 10) = 4

2x - 4x + 20 = 4

- 2x + 20 = 4 ( subtract 20 from both sides )

- 2x = - 16 ( divide both sides by - 2 )

x = 8

substitute x = 8 in equation (3)

y = (2 × 8) - 10 = 16 - 10 = 6

solution is (8 , 6)

answer: $1794

step-by-step explanation: