document.write( "Question 246063: Solve each system by addition\r
\n" ); document.write( "\n" ); document.write( "2x=2-y
\n" ); document.write( "3x+y= -1
\n" ); document.write( "

Algebra.Com's Answer #179743 by unlockmath(1688)\"\" \"About 
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( "
\n" );