# SOLUTION: 2x+y=4 x+y+2 im stuck i need help solving this can you give me some help

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: 2x+y=4 x+y+2 im stuck i need help solving this can you give me some help      Log On

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 Click here to see ALL problems on Linear-systems Question 154416: 2x+y=4 x+y+2 im stuck i need help solving this can you give me some helpAnswer 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. ------------------------------------------------------------------ Now go back to the first equation. Plug in . Multiply. Subtract from both sides. Combine like terms on the right side. So our answer is and . Which form the ordered pair . This means that the system is consistent and independent. Notice when we graph the equations, we see that they intersect at . So this visually verifies our answer. Graph of (red) and (green)