document.write( "Question 824187: The length of a rectangular field is 50 feet less than its width, if the perimeter of the field is 840 feet, find the length of the field show your work \n" ); document.write( "
Algebra.Com's Answer #496159 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "x = y - 50 \n" ); document.write( "2x + 2y = 840 \n" ); document.write( "--- \n" ); document.write( "put the system of linear equations into standard form \n" ); document.write( "--- \n" ); document.write( "x - y = -50 \n" ); document.write( "2x + 2y = 840 \n" ); document.write( "--- \n" ); document.write( "copy and paste the above standard form linear equations in to this (matrix method) solver: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "--- \n" ); document.write( "answer1: \n" ); document.write( "x= length = 185 ft \n" ); document.write( "y= width = 235 ft \n" ); document.write( "--- \n" ); document.write( "--- \n" ); document.write( "now solve by substitution: \n" ); document.write( "--- \n" ); document.write( "2x + 2y = 840 \n" ); document.write( "2(y - 50) + 2y = 840 \n" ); document.write( "2y - 100 + 2y = 840 \n" ); document.write( "4y = 940 \n" ); document.write( "y = 235 \n" ); document.write( "x = 235 - 50 \n" ); document.write( "x = 185 \n" ); document.write( "--- \n" ); document.write( "answer2: \n" ); document.write( "x= length = 185 ft \n" ); document.write( "y= width = 235 ft \n" ); document.write( "NOTE: matrix and substitution methods yield the same result \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( " |