Question

How do you solve 2x+y=5 and x-y=1?

Answer 1

`x = 2 " and " y = 1`

Explanation:

In this case we have a perfect scenario because the y terms are additive inverses. When the two equations are added, the y terms will add to 0.

`2x + y = 5 " A"`
`x - y = 1 " B"`

A + B: `" " 3x = 6`
`" " x = 2`

Substitute `x = 2` in B
`2 - y = 1`
`2 - 1 = y`
`1 = y`