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

1 Answer
Shantelle
Mar 26, 2018

#(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:
enter image source here

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!

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