Question

Use the substitution method to solve the system of equations. Choose the correct ordered pair. 2x + y = 10 y = x – 5 A. (5, 0) B. (7, 2) C. (9, –8) D. (8, –6)

Answer 1

It would be A.) (5,0)

Answer 2

A ) ( 5 ,0 ) .

Explanation:

Given : 2x + y = 10

y = x – 5.

To find : Use the substitution method to solve the system of equations.

Solution : We have given

2x + y = 10 -------(1)

y = x – 5---------(2).

Plug y = x -5 in equation 1

2x + x - 5 = 10 .

3x -5 = 10 .

On adding both sides by 5 .

3x = 10 + 5 .

3x = 15

On dividing by 3 both sides

x = 5 .

Now, plug x = 5 in equation 2

y = 5 -5

y= 0 .

( 5 ,0 )

Therefore, A ) ( 5 ,0 ) .