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? \n" );
document.write( "
Algebra.Com's Answer #133458 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The width of a rectangular painting is two-thirds of its length. If the perimeter is 28ft, then what are the length and width? \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement; \n" ); document.write( ": \n" ); document.write( "\"The width of a rectangular painting is two-thirds of its length. \n" ); document.write( "W = \n" ); document.write( ": \n" ); document.write( "\" If the perimeter is 28ft,\" \n" ); document.write( "2L + 2W = 28 \n" ); document.write( ": \n" ); document.write( " then what are the length and width? \n" ); document.write( ": \n" ); document.write( "Substitute \n" ); document.write( "2L + 2( \n" ); document.write( "2L + \n" ); document.write( "multiply eq by 3 to get rid of that annoying denominator, results: \n" ); document.write( "6L + 4L = 3(28) \n" ); document.write( ": \n" ); document.write( "10L = 84 \n" ); document.write( "L= \n" ); document.write( "L = 8.4 ft \n" ); document.write( ": \n" ); document.write( "Find W \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution: \n" ); document.write( "2(8.4) + 2(5.6) = \n" ); document.write( "16.8 + 11.2 = 28 ft \n" ); document.write( " |