SOLUTION: Im getting stuck on this system of equation by subtitution: Exercise xy=-12 x-2y+14=0

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Im getting stuck on this system of equation by subtitution: Exercise xy=-12 x-2y+14=0      Log On


   

Question 729991: Im getting stuck on this system of equation by subtitution:
Exercise xy=-12
x-2y+14=0
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
xy=-12
x-2y+14=0 --> x = 2y-14
------
xy = -12
(2y-14)*y = -12
2y%5E2+-+14y+%2B+12+=+0
y%5E2+-+7y+%2B+6+=+0
etc

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
System:
xy=-12
x-2y+14=0

No need to be stuck. More than one way to go.
xy=-12, gives you y=-12%2Fx. Substitute into other equation.
x-2%28-12%2Fx%29%2B14=0
x%2B24%2Fx%2B14=0
x%5E2%2B24%2B14x=0
x%5E2%2B14x%2B24=0 and solve for x from this.
...

Watch for a possible extraneous value for x, although most likely not important since this is not really an application problem.