SOLUTION: Solve the system of equations below using elimination by addition. What are the solutions? 3x-2y=5 -6x+4y=-10

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Question 1181677: Solve the system of equations below using elimination by addition. What are the solutions?
3x-2y=5
-6x+4y=-10

Answer by ikleyn(52792) About Me  (Show Source):
You can put this solution on YOUR website!
.

By dividing the terms by (-2), you see that the second equation is equivalent to


    3x - 2y = 5.


Thus the two original equations are equivalent to single equation


    3x - 2y = -5.


So they represent the same straight line and have infinitely may solutions


    y = %283x+%2B+5%29%2F2,


where x is any real number.

Solved, answered and explained.