Question

How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent `y= x-2` and `y=-x`?

Answer 1

The answer is `(1,-1)` and the system of equations is consistent.

Explanation:

To solve for a system of equations, graph both equations on the same graph.

The red line displays the equation, `y=x-2`.
The blue line displays the equation, `y=-x`.

You can solve this system of equations by seeing where the two lines intersect, `(1,-1)`.

A consistent system occurs when there is at least one set numerical value that can satisfy both equations, while an inconsistent system occurs when there is no solution meaning that the lines are parallel.

Since there is one set of answers, the system of equations is consistent.