Question

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

Answer 1

Given
`"[1] "x+2y=5` and
`"[2] "2x-2y = 4`

By adding [1] and [2], we get
`"[3] "3x = 9`
which implies
`"[4] " x= 3`

Substituting [4] into [1]
`"[5] "3+2y = 5`
which implies
`"[6] " y =1`

So the solution to the given pair of equations is
`(x,y) = (3,1)`