Question

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

Answer 1

`x=3`,`y=1`

Explanation:

Using the first equation
`x+y=4`
`y=4-x`
Then you substitute into the second equation
`x-(4-x)=2`
`2x-4=2`
`2x=6`
`x=3`
Then you substitute x=3 into the first equation
`3+y=4`
`y=1`