Question

How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent `4x+y=13` and `2x-y=5`?

Answer 1

Plot the two lines on a graph. They will either be parallel, or intersect at one point.

Explanation:

The point of intersection is the “solution” - the point that satisfies both equations simultaneously.
The equations are “consistent” if they have a solution. It may be easier to solve the system of equations algebraically, but the question required a graphical solution method.