How many solutions exist for the system of equations graphed below? 5
4
3
2
1
-54-3 -2 -11
1
2
3
4 5
X
2.

5

4

3

2

1

-54-3 -2 -11

1

2

3

4 5

X

2.

I believe the answer is no solution.
turn x-2y=-8 into x=2y-8 and then substitute into the other equation. this becomes 3(2y-8)-6y=-12. simplify to 6y-24-6y=-12. the 6y-6y cancels each other out, leaving -24=-12. -24 does not equal -12, so therefore there is no solution. since there is no solution, we can then assume that the lines do not intersect and that they are parallel.