How do you solve -x+y=2 , x+y=4 by graphing and classify the system?

Jul 3, 2017

See explanation.

Explanation:

To solve a system by graphing you have to draw both graphs in a single carthesian plane and see if the graphs have any common points.

graph{(y-x+2)(x+y-4)=0 [-10, 10, -5, 5]}

Here we see that the graphs cut at point $\left(3 , 1\right)$. So the system has 1 solution (x=3;y=1).

Such system is called consistent.