document.write( "Question 665403: What is the solution to this system of linear equations using the substitution method?
\n" ); document.write( "1/2x-1/5y=6
\n" ); document.write( "1/6+2/5y=9 \n" ); document.write( "

Algebra.Com's Answer #413836 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%281%2F2%29x-%281%2F5%29y=6\"$
\n" ); document.write( " $\"%281%2F6%29xx%2B%282%2F5%29y=9\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%281%2F2%29x-%281%2F5%29y=6\"$ \r
\n" ); document.write( "\n" ); document.write( "LCD = 10\r
\n" ); document.write( "\n" ); document.write( "multiply equation by 10\r
\n" ); document.write( "\n" ); document.write( "we get $\"%2810%2F2%29x-%2810%2F5%29y=6%2A10\"$
\n" ); document.write( "5x-2y=60...............(1)\r
\n" ); document.write( "\n" ); document.write( " $\"%281%2F6%29x%2B%282%2F5%29y=9\"$ \r
\n" ); document.write( "\n" ); document.write( "Multiply equation by LCD 30\r
\n" ); document.write( "\n" ); document.write( " $\"%2830%2F6%29x%2B%2830%2F5%29y=9%2A30\"$ \r
\n" ); document.write( "\n" ); document.write( "5x+6y=270................(2)\r
\n" ); document.write( "\n" ); document.write( "5 x -2 y = 60 .............1
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\n" ); document.write( "5 x + 6 y = 270 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 3
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "15 x \ -6 y = 180
\n" ); document.write( "5 x + 6 y = 270
\n" ); document.write( "Add the two equations
\n" ); document.write( "20 x = 450
\n" ); document.write( "/ 20
\n" ); document.write( "x = 23
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "5 x -2 y = 60
\n" ); document.write( "113 -2 y = 60
\n" ); document.write( " -2 y = 60 -113
\n" ); document.write( " -2 y = -53
\n" ); document.write( " y = 26
\n" ); document.write( "x= 23
\n" ); document.write( "y= 26
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\n" ); document.write( "m.ananth@hotmail.ca \r
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