Question

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

Answer 1

The solution for the system of equations is
`color(blue)(x=2,y=3`

Explanation:

`x+y=5`
`x=color(blue)(5-y`................equation `(1)`

`x−2y=−4`.......equation `(2)`

Solving through substitution

Substituting equation `(1)` in equation `(2)` to find `y`:
`x−2y=−4`
`5-y−2y=−4`
`-3y=−9`
`color(blue)(y=3`

Substituting the value of `y` in equation `(1)` to find `x`
`x=5-y`
`x=5-3`
`color(blue)(x=2`