document.write( "Question 285: Solve by the addition method:
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\n" ); document.write( "11x +2y = -1
\n" ); document.write( "2x +3y = 13 \n" ); document.write( "

Algebra.Com's Answer #129 by whenindoubt(13) $\"\"$ $\"About$

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this is a multi variable linear equation. the best method is to find a way to elminate one of the variables
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\n" ); document.write( "-3 (11x + 2y = -1 )
\n" ); document.write( "by distributing this -3 we can eliminate the y varible. this does not change the equation because we are distributing evenly by the same scalar. the new equation would be
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\n" ); document.write( "-33x -6y = 3\r
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\n" ); document.write( "now take
\n" ); document.write( "2 (2x + 3y = 13)
\n" ); document.write( "for the same purposes, the new equation would be
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\n" ); document.write( "4x + 6y = 26\r
\n" ); document.write( "\n" ); document.write( "and now adding the two new equations together the y variable cancels and we get.\r
\n" ); document.write( "\n" ); document.write( "-29x=29
\n" ); document.write( "x= -1 \r
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\n" ); document.write( "then by placing x into either equation we get the y variable. \n" ); document.write( "

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