document.write( "Question 160022: when 4 times the larger of two numbers is added to 3 times the smaller, the result is 68. seven times the larger less 5 times is 37. find the number \n" ); document.write( "
Algebra.Com's Answer #118003 by Fombitz(32388)\"\" \"About 
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Let's call the larger number L and the smaller one S.
\n" ); document.write( "1.\"4L%2B3S=68\"
\n" ); document.write( "2.\"7L-5S=37\"
\n" ); document.write( "Use eq. 1 to solve for L in terms of S.
\n" ); document.write( "1.\"4L%2B3S=68\"
\n" ); document.write( "\"4L=68-3S\"
\n" ); document.write( "\"L=17-%283%2F4%29S\"
\n" ); document.write( "Now substitute this expression for L into eq. 2 and solve for S.
\n" ); document.write( "2.\"7L-5S=37\"
\n" ); document.write( "\"7%2817-%283%2F4%29S%29-5S=37\"
\n" ); document.write( "\"7%2817-%283%2F4%29S%29-5S=37\"
\n" ); document.write( "\"119-%2821%2F4%29S-5S=37\"
\n" ); document.write( "\"-%2821%2F4%29S-%2820%2F4%29S=-82\"
\n" ); document.write( "\"-%2841%2F4%29S=-82\"
\n" ); document.write( "\"S=%2882%2A4%29%2F41\"
\n" ); document.write( "\"highlight%28S+=8%29\"
\n" ); document.write( "From eq. 1,
\n" ); document.write( "\"L=17-%283%2F4%29S\"
\n" ); document.write( "\"L=17-%283%2F4%298\"
\n" ); document.write( "\"L=17-6\"
\n" ); document.write( "\"highlight%28L=11%29\"
\n" ); document.write( "
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