Use substitution to solve the system of equations and choose the solution from the list below.
Look at the image

Answer:
Option : ( 2 , 6 )
x = 2, y = 6
Step-by-step explanation:
[tex]y = 4x - 2[/tex] ---------------- ( 1 )
[tex]y = -2x + 10[/tex] -------------- ( 2 )
Substitution Method
Substitute ( 1 ) in ( 2 ) :
[tex]4x - 2 = -2x + 10\\\\4x + 2x = 10 + 2\\\\6x = 12\\\\x = 2[/tex]
Now substitute x in ( 2 ):
[tex]y = -2x + 10\\\\y = -2 ( 2 ) + 10\\\\y = - 4 + 10 \\\\y = 6[/tex]