Question

What solution is y = 2x + 2 y = -2x + 4 ?

Answer 1

x =
`(1)/(2)` , y = 3

Explanation:

y = 2x + 2 → (1)

y = - 2x + 4 → (2)

Substitute y = 2x + 2 into (2)

2x + 2 = - 2x + 4 ( add 2x to both sides )

4x + 2 = 4 ( subtract 2 from both sides )

4x = 2 ( divide both sides by 4 )

x =
`(2)/(4)` =
`(1)/(2)`

Substitute this value into (1) for value of y

y = 2(
`(1)/(2)` ) + 2 = 1 + 2 = 3