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 parallel lines. there are infinitely many solutions to the system because the equations represent the same line.

Explanation:

When, after using a method like linear - combination to solve a system of linear equations, we get an identity like \(0 = 0\), it means the two equations are equivalent. In the case of linear equations, 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.