Question 242231
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.