Question

Is this correct?

8s+12t=16
6s+9t=12
Solve using Elimination
3(8s+12t=16) = 24s+36t=48
-4(6s+9s=12) = -24s-36t=-48

There is no possible solution because in doing this the s and t cancel out at the same time and there is no way to figure out what s or t may be.

Answer 1

I got help on it earlier, but couldn't remember if this was right

Answer 2

No. There are infinitely many solutions.

Answer 3

ok. Thank you. I couldn't remember. However; how are there infinitely many solutions?

Answer 4

When the lines are parrallel they have abolsutley no solutions because they don't intersect... EVER.

Answer 5

When they lines intersect at one point they have on solution.

Answer 6

When the same lines come out like this: 0 = 0, 9 = 9, 2 = 2, etc. Then both lines run across the same intersect. So there are infintly many solutions.