Question 22016: hi my name is brittny and i am having trouble with this one problem
directions: solve the following system of equations for x and y
2x-3y=-35
3x-2y=-5
thank you i hope you can help
Answer by wuwei96815(245)   (Show Source):
You can put this solution on YOUR website! The easiest way (although not the only way) to solve this system is by elimination and substitution.
Multiply the first equation by -1.5. You will get -3x + 4.5y = 52.5. Now, add this new equation to the second equation so that we can eliminate x and then solve for y.
(-3x+4.5y=52.5) + (3x-2y=-5) yields 2.5y=47.5. Solving for y we get y=19.
Now, substitute 19 for y in either of the original equations and solve for x.
2x-3y=-35 becomes 2x-3(19)=-35. Solving for x we get x=11.
If you want to check the correctness of the answers you can do so by substituting them into any of the original equations. I hope that you were able to follow this solution.
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