document.write( "Question 177969: Solve each system by addition
\n" ); document.write( "x+y=7
\n" ); document.write( "x-y=9
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Algebra.Com's Answer #132938 by Mathtut(3670)\"\" \"About 
You can put this solution on YOUR website!
addition is really just another name for elimination
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\n" ); document.write( "these two equations are already set up and do not have to be manipulated at all because one of the variables will be eliminated just by adding the equations together.
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\n" ); document.write( "x+y=7....eq 1
\n" ); document.write( "x-y=9....eq 2
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\n" ); document.write( "notice as these are lined up that when we add the two equations together the y terms are eliminated? why? because +y-y=0. We are left with x+x=7+9
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\n" ); document.write( "2x=16
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\n" ); document.write( "now take x's found value of 8 and plug it into either eq 1 or 2 and solve for y. I chose eq 1
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\n" ); document.write( "8+y=7
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\n" ); document.write( "\"highlight%28y=-1%29\"
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\n" ); document.write( "so the solution(8,-1) whould work in both equations
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\n" ); document.write( "x+y=7....eq 1--->8+(-1)=7--->7=7....check
\n" ); document.write( "x-y=9....eq 2--->8-(-1)=9--->9=9....check
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