document.write( "Question 403936: The difference between 2 numbers is 16. Five times the smaller is the same as 8 less than twice the larger. Find thenumbers. \n" ); document.write( "

Algebra.Com's Answer #285541 by texttutoring(324) $\"\"$ $\"About$

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Let x = the larger number
\n" ); document.write( "Let y = the smaller number\r
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\n" ); document.write( "\n" ); document.write( "You have two variables, so you need two equations:\r
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\n" ); document.write( "\n" ); document.write( "Equation 1: x-y=16
\n" ); document.write( "Equation 2: 5y=2x-8\r
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\n" ); document.write( "\n" ); document.write( "You can now use elimination or substitution to solve. I will use substitution:\r
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\n" ); document.write( "\n" ); document.write( "x-y=16
\n" ); document.write( "x=16+y\r
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\n" ); document.write( "\n" ); document.write( "Substitute this into the second equation:\r
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\n" ); document.write( "\n" ); document.write( "5y=2x-8
\n" ); document.write( "5y=2(16+y)-8
\n" ); document.write( "5y=32+2y-8
\n" ); document.write( "5y=24+2y
\n" ); document.write( "3y=24
\n" ); document.write( "y=8\r
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\n" ); document.write( "\n" ); document.write( "Now find x:\r
\n" ); document.write( "\n" ); document.write( "x=16+y
\n" ); document.write( "x=16+8
\n" ); document.write( "x=24\r
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\n" ); document.write( "\n" ); document.write( "So the two numbers are 8 and 24. \n" ); document.write( "

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