document.write( "Question 73499: 3. Write a system of two equations in two unknowns. Solve the system by using the substitution method. « The length of a rectangular field is 12 feet longer than the width. If the perimeter is 144 feet, then what are the length and width ? » Show your work. \n" ); document.write( "
Algebra.Com's Answer #52629 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Write a system of two equations in two unknowns. Solve the system by using the substitution method. «
\n" ); document.write( ":
\n" ); document.write( "\"The length of a rectangular field is 12 feet longer than the width.\" says:
\n" ); document.write( " L = W + 12
\n" ); document.write( ":
\n" ); document.write( "\"If the perimeter is 144 feet,\" says
\n" ); document.write( "2L + 2W = 144
\n" ); document.write( ":
\n" ); document.write( "then what are the length and width ? » Show your work.
\n" ); document.write( ":
\n" ); document.write( "Using the 1st equation, substitute (W+12) for L in the 2nd equation:
\n" ); document.write( "2(W+12) + 2W = 144
\n" ); document.write( ":
\n" ); document.write( "Simplify, divide equation by 2 and you have:
\n" ); document.write( "W + 12 + W = 72
\n" ); document.write( ":
\n" ); document.write( "2W = 72 - 12
\n" ); document.write( ":
\n" ); document.write( "W = 60/2
\n" ); document.write( ":
\n" ); document.write( "W = 30
\n" ); document.write( ":
\n" ); document.write( "I'll let you find the length, check both solutions in the perimeter equation \n" ); document.write( "
\n" );