Question 242231: What is the solution to the system of equations shown? ( y=2x-6 & y=-3x-6)
Answer by dpaulin(12)   (Show Source):
You can put this solution on YOUR website! y=2x-6
y=-3x-6 solve by elimination
6=-3x-y times one of the equations by a negative to cancel out y and 6
6=2x-y usually you will only eliminate a variable.
-6=2x+y add equations
0=4x get x by itself 0/4 = 0
x=0
plug into original equations
y=2(o)-6
y=-6
y=-3x-6 Always use both equations this checks your answers
y=-6 if we got a different answer he then something is wrong.
(0,-6) this answer can been seen without doing any work at all. take into consideration both of the equations have a y-intercept at -6. that immediately shows you the point of intersection between the two linear equations.
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