SOLUTION: 3x-y=-6 2x+3y=7

Question 1092356: 3x-y=-6
2x+3y=7
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

When both equations are given to you in the form Ax+By=C, by far the easiest way to solve the system of equations is by eliminating one of the variables.

You are given

Since the y terms have coefficients that are opposite signs, my preference is to multiply one or both equations by appropriate constants so that the coefficients of y in the two equations are opposites; then adding the two equations will eliminate y, leaving an equation in just x that I can solve. Then I use that value of x in one of the original equations to solve for y.

[multiply the first equation by 3]

[add the two equations]

[set x to -1 in the second equation]

The solution is (x,y) = (-1,3).
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