SOLUTION: The point (46,0) lies on the line 2x + 10y = 92 determine if this point is a solution of the system. 2xy + 10y = 92 -6x - 2y = -24

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: The point (46,0) lies on the line 2x + 10y = 92 determine if this point is a solution of the system. 2xy + 10y = 92 -6x - 2y = -24      Log On


   

Question 531829: The point (46,0) lies on the line 2x + 10y = 92 determine if this point is a solution of the system.
2xy + 10y = 92
-6x - 2y = -24
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The point (46,0) has x=46 and y=0.
It indeed lies on the line 2x%2B10y=92
because for those values of x and y
2x%2B10y=2%2A42%2B10%2A0=92%2B0=92
However, when we substitute in the other 2 equations, those values of x and y satisfy neither
2xy%2B10y=2%2A46%2A0%2B10%2A0=0%2B0=0 is far from 92, and
-6x+-+2y+=-6%2A46-2%2A0=-6%2A46-0=-6%2A46 is far from -6%2A4=-24