Question

the system of equations shown is solved using the linear combination method. 6x - 5y=-8 → 6x - 5y=-8 → 6x - 5y=-8 -24x + 20y = 32 → 1/4(-24x + 20y = 32) → -6x + 5y = 8 0 = 0 what does 0 = 0 mean regarding the solution to the system? there are no solutions to the system because the equations represent parallel lines. there are no solutions to the system because the equations represent the same line. there are infinitely many solutions to the system because the equations represent the same line. there are infinitely many solutions to the system because the equations represent parallel lines. there are infinitely many solutions to the system because the equations represent the same line.

Explanation:

When solving a system of linear - equations and getting $0 = 0$, it means the two equations are equivalent. Equivalent equations represent the same line. Every point on the line is a solution to the system, so there are infinitely many solutions.

Answer:

There are infinitely many solutions to the system because the equations represent the same line.