# SOLUTION: 5x-2y=37 3x+4y=9 It is all one problem setup like above.We have tried to add them together and tried to figure out x and y separately. This is my student's problem and I thought

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: 5x-2y=37 3x+4y=9 It is all one problem setup like above.We have tried to add them together and tried to figure out x and y separately. This is my student's problem and I thought      Log On

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 Click here to see ALL problems on Linear-systems Question 175132: 5x-2y=37 3x+4y=9 It is all one problem setup like above.We have tried to add them together and tried to figure out x and y separately. This is my student's problem and I thought I would see how it is done step by step and then we can work on the rest of his assigned problems.Answer by jim_thompson5910(28593)   (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Multiply the both sides of the first equation by 2. Distribute and multiply. So we have the new system of equations: Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this: Group like terms. Combine like terms. Notice how the y terms cancel out. Simplify. Divide both sides by to isolate . ------------------------------------------------------------------ Now go back to the first equation. Plug in . Multiply. Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ======================================================== Answer: So the solutions are and which forms the ordered pair