Answer
Infinite solutions (equal lines). The graphs of the equations do not change during the elimination process.
Work Step by Step
We are given the equations:
$2x-3y=7$
$-4x+6y=-14$
If we multiply the first equation by $-2$, we get:
$-2(2x-3y=7)$
$-4x+6y=-14$
Thus, the first equation and second equation are identical and we have an infinite number of solutions. We also observe that the lines do not change during the elimination process.
