Question

The system of equations is solved using the linear combination method.

What does 0 = −12 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.

Answer 1

no solution because the lines are parallel

little tip :
* if the set of equations results in 0 = 4, or 3 = 2, or something not equal, then the lines have no solution and are parallel.
* if the set of equations results in 0 = 0, or 5 = 5, or something equal, then the lines are the same and will have infinite solutions.
* if the set of equations results in y = 7, or x = 4, or a variable equaling a number, then there will only be one solution

Answer 2

The correct answer is:

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

Step-by-step explanation:

When solving a system of equations using linear combination, if we get two numbers that are not equal as our solution, then the system of equations has no solution. This would indicate that the lines are parallel because they do not intersect.