Question

How do you solve the system `x + y = 4` and `–x + y = 2` by graphing?

Answer 1

`(1, 3)`
(Graph in explanation)

Explanation:

First, we need to set the equation so that `y` is by itself.

For the first equation `x + y = 4`, we can subtract `x` from both sides and get `y = 4-x`.

For the second equation `-x + y = 2`, we can add `x` on both sides of the equation and get `y = x + 2`.

Now we can graph this. We graph both equations on the same graph because to solve by graphing, we have to find the point(s) where the two graphs intersect:

The red line represents the equation `y = 4-x`.
The blue line represents the equation `y = x+2`.

As you can see, the equations intersect at the point `(1, 3)`.

Therefore, the answer is `(1, 3)`.

Hope this helps!