document.write( "Question 927118: the sum of two numbers is 11 and their difference is 6. find the number
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Algebra.Com's Answer #562691 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "the sum of two numbers, $\"x\"$ and $\"y\"$ , is $\"11\"$ and their difference is $\"6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2By=11\"$ ...eq.1\r
\n" ); document.write( "\n" ); document.write( " $\"x-y=6\"$ ....eq.2
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\n" ); document.write( " $\"x%2By=11\"$ ...eq.1..solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=11-x\"$ ...substitute in eq.2\r
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\n" ); document.write( "\n" ); document.write( " $\"x-%2811-x%29=6\"$ ....eq.2.solve for $\"x\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x-11%2Bx=6\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"2x=6%2B11\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x=17\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=17%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28x=8.5%29\"$ \r
\n" ); document.write( "\n" ); document.write( "now find $\"y\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=11-x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=11-8.5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28y=2.5%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( " $\"x%2By=11\"$ ...eq.1=> $\"8.5%2B2.5=11\"$ => $\"11=11\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x-y=6\"$ ....eq.2=> $\"8.5-2.5=6\"$ => $\"6=6\"$ \r
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