SOLUTION: Please help me solve this equation: y=-2x+3 4x+2y=12

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Please help me solve this equation: y=-2x+3 4x+2y=12      Log On


   



Question 990978: Please help me solve this equation: y=-2x+3
4x+2y=12

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
system%28y=-2x%2B3%2C%0D%0A4x%2B2y=12%29.

Simply substitute the expression for  y  from the first equation to the second one.  You will get

4x + 2*(-2x+3) = 12.

Simplify it:

4x - 4x + 6 = 12.

6 = 12.

Could it be so?   -No.

It means that your system has no solution.

Geometrically the original equations represent two parallel straight lines in a coordinate plane that have no intersection - have no common point.