document.write( "Question 429556: how can i solve this problem using the elimination method for systems x-6y=44 2x-7y=53 \n" ); document.write( "

Algebra.Com's Answer #298342 by mananth(16946) $\"\"$ $\"About$

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x-6y=44 .............1
\n" ); document.write( "2x-7y=53.............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 7
\n" ); document.write( "Multiply (2) by -6
\n" ); document.write( "7x-42y= 308
\n" ); document.write( "-12x+42 y=-318
\n" ); document.write( "
\n" ); document.write( "Add the two equations
\n" ); document.write( "
\n" ); document.write( "-5x=-10
\n" ); document.write( "
\n" ); document.write( "/-5
\n" ); document.write( "
\n" ); document.write( "x=2
\n" ); document.write( "
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "
\n" ); document.write( "x-6y=44
\n" ); document.write( "2-6y=44
\n" ); document.write( "-6y=44-2
\n" ); document.write( "-6y=42
\n" ); document.write( "y=-7 \n" ); document.write( "

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