Question

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

Look at the image

Answer 1

Option : ( 2 , 6 )

x = 2, y = 6

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`