Question

How do you solve the system `y=2x-2` and `y=x+2` using substitution?

Answer 1

The solution is (4, 6).

Explanation:

Using substitution in this case means plugging in `x+2` for `y` (for example), since they are stated to be equal.

`y = 2x-2 color(white)"X" & color(white)"X" y = x+2`

Therefore, `2x-2 = x+2`
`color(white)"XXXXXXX-X" 2x = x+4`
`color(white)"XXXXXXXXX" x = 4`

Now we know that `x=4`, so plug in `x` to one of the equations in order to find `y`.

`y = x+2`
`y = 4+2`
`y = 6`

So, the solution is (4, 6).