Question

How do you solve `y=x-5` and `4x+2y=8`?

Answer 1

`y = x - 5` is equation 1
`4x + 2y = 8` is equation 2
Substitute equation 1 into equation 2 where possible and is as follows:
`4x + 2(x - 5) = 8`
`4x + 2x- 10 = 8`
`4x + 2x = 8 +10`
`6x = 18`
`x = 18 / 6`
`x =3`
To find the value of y, substitute the value for x in equation 1 or 2 but I'll use equation 2 because it is easier and requires less calculations.
`y = x - 5`
`y = 3 - 5`
`y = -2`

`x = 3 ; y = -2`
`(3,-2)`