Question

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

3x+4y=8 = -2(3x+4y=8) — -x-By--16
3x +24y - 12 (3x +24y= 12) ► x+8y=4
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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.
1

Answer 1

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

Explanation:

The given system is solved using the linear combination method.

By solving we had the result 0=-12.

We need to interpret this result in terms number of solutions.

Since 0 is never equal to -12, it means the system has no solution.

This means that the lines do not intersect