Question

How do you solve the system `x + y = 6` and `x = y + 2`?

Answer 1

Isolate one variable in one equation and then substitute it in the other one.

`x=6-y`

Now, substitute the value found, in the first equation, for `x`, in the second equation:

`6-y=y+2`
`4=2y`
`y=2`

If `y=2` and `x=6-y`, then `x=4`