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

Answer:
The correct option is D.
Step-by-step explanation:
The given equations are
[tex]y=5x-17[/tex] .... (1)
[tex]y=x+3[/tex] .... (2)
Substitute the value of y in equation (2) from equation (1).
[tex]5x-17=x+3[/tex]
[tex]5x-x=3+17[/tex]
[tex]4x=20[/tex]
[tex]x=5[/tex]
Put this value in equation (2).
[tex]y=5+3[/tex]
[tex]y=8[/tex]
The solution of the given system of equations is (5,8). Therefore the correct option is D.