document.write( "Question 825409: [ If a rectangle has a perimeter of 3600 meters, what is the width if the length is 5 times the width ] \n" ); document.write( "

Algebra.Com's Answer #497257 by TimothyLamb(4379) $\"\"$ $\"About$

You can put this solution on YOUR website!
---
\n" ); document.write( "x = width
\n" ); document.write( "y = length
\n" ); document.write( "---
\n" ); document.write( "3600 = 2x + 2y
\n" ); document.write( "y = 5x
\n" ); document.write( "---
\n" ); document.write( "put the system of linear equations into standard form
\n" ); document.write( "---
\n" ); document.write( "2x + 2y = 3600
\n" ); document.write( "5x - y = 0
\n" ); document.write( "---
\n" ); document.write( "copy and paste the above linear system in standard form into this matrix-method solver:
\n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php
\n" ); document.write( "---
\n" ); document.write( "solution by matrix method:
\n" ); document.write( "x = width = 300 m
\n" ); document.write( "y = length = 1500 m
\n" ); document.write( "---
\n" ); document.write( "system matrix
\n" ); document.write( "2 2
\n" ); document.write( "5 -1
\n" ); document.write( "---
\n" ); document.write( "inverse of system matrix
\n" ); document.write( "0.083333333 0.16666667
\n" ); document.write( "0.41666667 -0.16666667
\n" ); document.write( "---
\n" ); document.write( "determinant of system matrix = -12
\n" ); document.write( "---
\n" ); document.write( "now solve by substitution method:
\n" ); document.write( "---
\n" ); document.write( "3600 = 2x + 2y
\n" ); document.write( "y = 5x
\n" ); document.write( "---
\n" ); document.write( "3600 = 2x + 2(5x)
\n" ); document.write( "3600 = 2x + 10x
\n" ); document.write( "12x = 3600
\n" ); document.write( "---
\n" ); document.write( "solution by substitution method:
\n" ); document.write( "x = width = 300 m
\n" ); document.write( "y = length = 1500 m
\n" ); document.write( "---
\n" ); document.write( "NOTE:
\n" ); document.write( "solution by matrix method agrees with solution by substitution method.
\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 4-equations 4-variables:
\n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "

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