Question

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

Answer 1

Answer:

Option : ( 2 , 6 )

x = 2, y = 6

Step-by-step explanation:

$y = 4x - 2$      ---------------- ( 1 )

$y = -2x + 10$   -------------- ( 2 )

Substitution Method

Substitute ( 1 ) in ( 2 ) :

                           $4x - 2 = -2x + 10\\\\4x + 2x = 10 + 2\\\\6x = 12\\\\x = 2$

Now substitute x in ( 2 ):

                           $y = -2x + 10\\\\y = -2 ( 2 ) + 10\\\\y = - 4 + 10 \\\\y = 6$