Question

the two lines graphed below are not parallel. how many solutions are there to the system of equations? a. infinitely many b. two c. one d. zero

Explanation:

Step1: Recall system of linear equations

A system of two linear equations represents two lines. If lines are parallel, they have no solution (if distinct) or infinitely many (if coincident). If not parallel, they intersect.

Step2: Analyze non - parallel lines

Given two non - parallel lines. Non - parallel lines in a plane (for linear equations in two variables) intersect at exactly one point. The solution of the system of equations is the point of intersection. So a system of two non - parallel linear equations has one solution.

Answer:

C. One