Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the system of equations shown is solved using the linear combination me…

Question

the system of equations shown is solved using the linear combination method. 6x - 5y=-6 → 6x - 5y=-6 → 6x - 5y=-6 -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:

Brief Explanations

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

Answer:

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