Question

Use the substitution method to solve the system of equations. Choose the

correct ordered pair.
2x - y = 10
2x - 2y = 4
O A. (2,-2)
B. (2-1)
OC. (8,6)
O D. (7,4)

Answer 1

C

Explanation:

Given the 2 equations

2x - y = 10 → (1)

2x - 2y = 4 → (2)

Rearrange (2) expressing 2x in terms of y by adding 2y to both sides

2x = 4 + 2y

Substitute 2x = 4 + 2y into (1)

4 + 2y - y = 10, that is

4 + y = 10 ( subtract 4 from both sides )

y = 6

Substitute y = 6 into either of the 2 equations and solve for x

Using (1)

2x - 6 = 10 ( add 6 to both sides )

2x = 16 ( divide both sides by 2 )

x = 8

Solution is (8, 6 ) → C