# SOLUTION: What is the system of equations 2r+2s=50 and 2r-s=17?

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 Question 175702: What is the system of equations 2r+2s=50 and 2r-s=17?Answer by jim_thompson5910(28717)   (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Multiply the both sides of the second 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. Simplify. Divide both sides by to isolate . Reduce. ------------------------------------------------------------------ Now go back to the first equation. Plug in . Multiply. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So our answer is and . This means that the system is consistent and independent.