Question

Use the substitution method to solve the system of equations. Choose the correct ordered pair. y=5x-17 y=x+3

Answer 1

`x + 3 = 5x - 17 \\ 20 = 4x \\ x = 5 \\ y = x + 3 \\ y = 5 + 3 = 8 \\ x = 5 \: \: \: \: y = 8`

Answer 2

The correct option is D.

Explanation:

The given equations are

`y=5x-17` .... (1)

`y=x+3` .... (2)

Substitute the value of y in equation (2) from equation (1).

`5x-17=x+3`

`5x-x=3+17`

`4x=20`

`x=5`

Put this value in equation (2).

`y=5+3`

`y=8`

The solution of the given system of equations is (5,8). Therefore the correct option is D.