document.write( "Question 178257: Write a system of two equations in two unknowns for each problem. Solve each system by substitution.\r
\n" ); document.write( "\n" ); document.write( "The width of a rectangualr painting is two -thirds of its length. If the perimeter is 28ft, then what are the length and width?
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Algebra.Com's Answer #133458 by ankor@dixie-net.com(22740)\"\" \"About 
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The width of a rectangular painting is two-thirds of its length. If the perimeter is 28ft, then what are the length and width?
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\n" ); document.write( "Write an equation for each statement;
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\n" ); document.write( "\"The width of a rectangular painting is two-thirds of its length.
\n" ); document.write( "W = \"2%2F3\"L
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\n" ); document.write( "\" If the perimeter is 28ft,\"
\n" ); document.write( "2L + 2W = 28
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\n" ); document.write( " then what are the length and width?
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\n" ); document.write( "Substitute \"2%2F3\"L for W in the perimeter equation, Find L:
\n" ); document.write( "2L + 2(\"2%2F3\"L) = 28
\n" ); document.write( "2L + \"4%2F3\"L = 28
\n" ); document.write( "multiply eq by 3 to get rid of that annoying denominator, results:
\n" ); document.write( "6L + 4L = 3(28)
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\n" ); document.write( "10L = 84
\n" ); document.write( "L= \"84%2F10\"
\n" ); document.write( "L = 8.4 ft
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\n" ); document.write( "Find W
\n" ); document.write( "\"2%2F3\"(8.4) = 5.6 ft
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\n" ); document.write( "Check solution:
\n" ); document.write( "2(8.4) + 2(5.6) =
\n" ); document.write( "16.8 + 11.2 = 28 ft
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