document.write( "Question 174001: The sum of two numbers is 15. Three times on of the numbers is 11 less than five times the other. Find the numbers . \n" ); document.write( "
Algebra.Com's Answer #128919 by nerdybill(7384)\"\" \"About 
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The sum of two numbers is 15. Three times on of the numbers is 11 less than five times the other. Find the numbers .
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\n" ); document.write( "Let x = one of the two numbers
\n" ); document.write( "and y = the other number
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\n" ); document.write( "x + y = 15 (equation 1)
\n" ); document.write( "3x = 5y - 11 (equation 2)
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\n" ); document.write( "Solving equation 1 for y:
\n" ); document.write( "x + y = 15
\n" ); document.write( "y = 15 - x
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\n" ); document.write( "Substitute the above into equation 2 and solve for x:
\n" ); document.write( "3x = 5y - 11
\n" ); document.write( "3x = 5(15-x) - 11
\n" ); document.write( "3x = 75 - 5x - 11
\n" ); document.write( "8x = 75 - 11
\n" ); document.write( "8x = 64
\n" ); document.write( "x = 8
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\n" ); document.write( "Substitute the above into equation 1 and solve for y:
\n" ); document.write( "x + y = 15
\n" ); document.write( "8 + y = 15
\n" ); document.write( "y = 7
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\n" ); document.write( "The two numbers are 7 and 8 \n" ); document.write( "
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