document.write( "Question 213058: The sum of two numbers is 11 and their difference is 6. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #160946 by nerdybill(7384) $\"\"$ $\"About$

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The sum of two numbers is 11 and their difference is 6. Find the numbers.
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\n" ); document.write( "Let x = one of two numbers
\n" ); document.write( "and y = second of two numbers
\n" ); document.write( "then
\n" ); document.write( "from: \"The sum of two numbers is 11\"
\n" ); document.write( "x + y = 11 (equation 1)
\n" ); document.write( ".
\n" ); document.write( "from: \"and their difference is 6\"
\n" ); document.write( "x - y = 6 (equation 2)
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\n" ); document.write( "To solve use the \"addition method\" -- add the two equations together:
\n" ); document.write( "x + y = 11
\n" ); document.write( "x - y = 6
\n" ); document.write( "--------------
\n" ); document.write( "2x + 0y = 5
\n" ); document.write( "2x = 5
\n" ); document.write( "x = 5/2
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\n" ); document.write( "Substitute the above into equation 1 and solve for y:
\n" ); document.write( "x + y = 11
\n" ); document.write( "5/2 + y = 11
\n" ); document.write( "y = 11 - 5/2
\n" ); document.write( "y = 22/2 - 5/2
\n" ); document.write( "y = 17/2
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\n" ); document.write( "Solution:
\n" ); document.write( "The two numbers are 5/2 and 17/2
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