Question

problem 5
does this system of equations have a solution?
yes no

Explanation:

Step1: Recall solution of system of equations

A system of linear equations has a solution if their graphs intersect (for two lines, a single point of intersection means one solution, same line means infinite solutions, parallel means no solution).

Step2: Analyze the graph

The two lines (black and blue) in the graph intersect at a point (they cross each other), so there is a point that satisfies both equations.

Answer:

Yes