Question

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

Answer 1

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 `(3,1)`. So the system has 1 solution (`x=3;y=1`).

Such system is called consistent.