# SOLUTION: How do I find the system of equations 3y+2z=12 and y-z=9?

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 Click here to see ALL problems on Linear-systems Question 175700: How do I find the system of equations 3y+2z=12 and y-z=9?Answer by jim_thompson5910(29613)   (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. Notice how the z terms cancel out. 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 .