Question

How do you solve by elimination `x + y = 2` and `2x + y = -1`?

Answer 1

`x=-3, y=5`

Explanation:

Subtracting equations,

`x - 2x = 2 - -1`

`-x = 3`

`x = -3`

`y = 2 - x= 2 - -3 = 5`

Check:

`-3 + 5 = 2 quad sqrt`

`2(-3) + 5 = -1 quad sqrt`