Question

Use the substitution method to solve the system of equations. Choose the correct ordered pair. 3x – y = 7 2x – 2y = 2

A. (2, 2)
B. (3, -1)
C. (3, 2)
D. (2, -2)

Answer 1

y=2, and x=3 so it is c

Answer 2

The solution set is (3,2)

C is correct

Explanation:

Given: System of equation.

`3x-y=7`

`2x-2y=2`

We will solve x and y using substitution method.

`3x-y=7`

`y=3x-7------------------(1)`

Substitute into 2x-2y=2

`2x-2(3x-7)=2`

`2x-6x+14=2`

`-4x=-12`

`x=3`

Put x=3 into eq(1)

`y=3(3)-7`

`y=2`

Hence, The solution set is (3,2)