Question

The system of equations is solved using the linear combination method. What does 0= -12 mean regarding the solution to the system?

Answers:
There are no solutions to the system because the equations represent parallel lines.

There are no solutions to the system because the equation 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.

Answer 1

There are no solutions to the system because the equation represents parallel lines

Answer 2

There are no solutions to the system because the equations represent parallel lines.

Explanation:

We know by given that the system result is 0 = -12.

This results means that there are no solutions in the system, because the statment 0 = -12 is false, also lines are parallels, that's the real reason why there's no solution.

Remember that parallel lines won't intercept, and a solution of a linear system means that those lines intercept. So, if they don't, then, there's no solution.

Therefore, the right answer is the first choice.