Question

How many solutions does the system of equations have?

A. No solution
B. Four solutions
C. Exactly one solution
D. Infinitely many solutions

Answer 1

C. Exactly one solution

Explanation:

You want to know the number of solutions of the system of equations shown in the graph.

Point(s) of intersection

A solution to a system of equations is the set of points on a graph where all of the equations are satisfied simultaneously. For a system of two linear equations, it will be the point(s) where the lines intersect.

Here, the lines intersect at one point, so there is exactly one solution.