document.write( "Question 246063:  Solve each system by addition\r
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document.write( "2x=2-y
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document.write( "3x+y= -1 \n" );
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| Algebra.Com's Answer #179743 by unlockmath(1688)     You can put this solution on YOUR website! Hello, \n" ); document.write( "Let's first rewrite these \n" ); document.write( "2x=2-y \n" ); document.write( "3x+y= -1 so they look like this: \n" ); document.write( "2x+y=2 \n" ); document.write( "3x+y=-1 \n" ); document.write( "Now multiply the first equation by -1 to give us: \n" ); document.write( "-2x-y=-2 \n" ); document.write( "3x+y= -1 \n" ); document.write( "Adding these will look like: \n" ); document.write( "x= -3 Notice the y cancels out. Now we plug in -3 to either original equation to find y. We get: \n" ); document.write( "2(-3)=2-y or rewritten: \n" ); document.write( "-6-2=-y Combine like terms \n" ); document.write( "-8=-y Multiply -1 both sides to get: \n" ); document.write( "8=y To check the problem put the answers x=-3 and y=8 into both problems. \n" ); document.write( "Make sense? \n" ); document.write( "RJ Toftness \n" ); document.write( "www.math-unlock.com \n" ); document.write( " |