SOLUTION: x+3y=3 2x+3y=4

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 Click here to see ALL problems on Linear Algebra Question 154784This question is from textbook beginning and intermediate algebra : x+3y=3 2x+3y=4This question is from textbook beginning and intermediate algebra 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 -1. 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 . 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 . So our answer is and . Which form the ordered pair . This means that the system is consistent and independent.