Question

1. carly graphs a system of linear equations. her lines intersect at one point. how many solutions does her system have?

infinite solutions
only two solutions
only one solution
no solutions

Explanation:

In a system of linear equations, the solution is the point where the lines intersect. If two lines intersect at one point, that point represents the only solution to the system because it's the only set of values that satisfies both equations simultaneously. Infinite solutions occur when lines are coincident (same line), no solutions when lines are parallel (never intersect), and two solutions are impossible for linear equations (lines are straight, can intersect at 0, 1, or infinitely many points).

Answer:

C. only one solution