document.write( "Question 397052: solve the linear system: x-2y=-5 , -3x+y=0 I need step by step help. \n" ); document.write( "

Algebra.Com's Answer #281476 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Hi,\r
\n" ); document.write( "\n" ); document.write( "(1) $\"x+-+2y+=+-5\"$
\n" ); document.write( "(2) $\"-3x+%2B+y+=+0\"$
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\n" ); document.write( "The most important rule is:
\n" ); document.write( "\"What ever you do to one side of an equation,
\n" ); document.write( "you must do to the other side.\"
\n" ); document.write( "Multiply both sides of (2) by $\"2\"$
\n" ); document.write( "then add the equations
\n" ); document.write( "(1) $\"x+-+2y+=+-5\"$
\n" ); document.write( "(2) $\"-6x+%2B+2y+=+0\"$ (notice that $\"2%2A0+=+0\"$ )
\n" ); document.write( " $\"-5x+=+-5\"$
\n" ); document.write( " $\"x+=+1\"$
\n" ); document.write( "Now substitute this value in (1)
\n" ); document.write( "(1) $\"1+-2y+=+-5\"$
\n" ); document.write( "Subtract $\"1\"$ from both sides
\n" ); document.write( " $\"-2y+=+-5+-+1\"$
\n" ); document.write( " $\"-2y+=+-6\"$
\n" ); document.write( "Divide both sides by $\"-2\"$
\n" ); document.write( " $\"y+=+3\"$
\n" ); document.write( "The solution is (1,3)\r
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