Question

If a system of equations has the same slopes and y-intercepts, how many solutions does it have?

A. One solution
B. Infinite solutions
C. No solution
D. Two solutions

Answer 1

If a system of equations has the same slopes and y-intercepts, it has infinite solutions.

Step-by-step explanation:

If a system of equations has the same slopes and y-intercepts, it has infinite solutions.

This means that any value of the variables that satisfies one of the equations will also satisfy the other equation. In other words, the two equations represent the same line on the coordinate plane.

For example, if the equations are y = 2x + 3 and 2y = 4x + 6, they are equivalent and have infinite solutions.