document.write( "Question 831595: solve by the elimination method p=40+q and 7p=-9q+360 \n" ); document.write( "

Algebra.Com's Answer #501595 by TimothyLamb(4379) $\"\"$ $\"About$

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\n" ); document.write( "p = 40 + q
\n" ); document.write( "7p = -9q + 360
\n" ); document.write( "---
\n" ); document.write( "put the system of linear equations into standard form:
\n" ); document.write( "---
\n" ); document.write( "x = p
\n" ); document.write( "y = q
\n" ); document.write( "---
\n" ); document.write( "x = 40 + y
\n" ); document.write( "7x = -9y + 360
\n" ); document.write( "---
\n" ); document.write( "x - y = 40
\n" ); document.write( "7x + 9y = 360
\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 = p = 45
\n" ); document.write( "y = q = 5
\n" ); document.write( "---
\n" ); document.write( "now by elimination:
\n" ); document.write( "---
\n" ); document.write( "x - y = 40
\n" ); document.write( "7x + 9y = 360
\n" ); document.write( "---
\n" ); document.write( "p - q = 40
\n" ); document.write( "7p + 9q = 360
\n" ); document.write( "---
\n" ); document.write( "( p - q = 40 ) * -7
\n" ); document.write( "7p + 9q = 360
\n" ); document.write( "---
\n" ); document.write( "-7p + 7q = -280
\n" ); document.write( "7p + 9q = 360
\n" ); document.write( "---
\n" ); document.write( "add the system:
\n" ); document.write( "---
\n" ); document.write( "16q = 80
\n" ); document.write( "q = 5
\n" ); document.write( "---
\n" ); document.write( "p = 40 + q
\n" ); document.write( "p = 40 + 5
\n" ); document.write( "p = 45
\n" ); document.write( "---
\n" ); document.write( "solution by elimination method:
\n" ); document.write( "x = p = 45
\n" ); document.write( "y = q = 5
\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( "

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