document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146084>Question 146084</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/032122826x/algebrahomeworkh>Finite Mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please solve the system of equation for all variables using a matrix.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%2By=-4 ALIGN=MIDDLE  ALT=\"-2x%2By=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3y=9 ALIGN=MIDDLE  ALT=\"x%2B3y=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "My solution\r<BR>\n" );
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document.write( "2 1=-4<BR>\n" );
document.write( "1 3=9\r<BR>\n" );
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document.write( "r2 reverse r1<BR>\n" );
document.write( "1 3=9<BR>\n" );
document.write( "2 1=-4\r<BR>\n" );
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document.write( "r2* -2<BR>\n" );
document.write( "1 3=9<BR>\n" );
document.write( "0 -1=-6\r<BR>\n" );
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document.write( "r2* 2\r<BR>\n" );
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document.write( "1 3=9<BR>\n" );
document.write( "0 1=-12\r<BR>\n" );
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document.write( "r2*-3+r1<BR>\n" );
document.write( "1 0=-6<BR>\n" );
document.write( "0 1=-12<BR>\n" );
document.write( "x= -6 and y= -12 <BR>\n" );
document.write( "Please help I'm trying to get these steps, but i think my mutiplcation is off somewhere. Thanks in advance.  </SPAN>\n" );
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document.write( "Hi, you are literally trying to get the identity on the left hand side of the matrix.\r<BR>\n" );
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document.write( "You dont have to swap the rows but if you do then you will have:\r<BR>\n" );
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document.write( "1 3 = 9<BR>\n" );
document.write( "-2 1=-4\r<BR>\n" );
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document.write( "then to get a zero in row 2 you can add 2 row1:\r<BR>\n" );
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document.write( "1 3=9<BR>\n" );
document.write( "0 7=14\r<BR>\n" );
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document.write( "then we need a 1 where the 7 is and therefore we divide row 2 by 7:\r<BR>\n" );
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document.write( "1 3=9<BR>\n" );
document.write( "0 1=2\r<BR>\n" );
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document.write( "Row 1 minus 3 row 2:\r<BR>\n" );
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document.write( "1 0=3<BR>\n" );
document.write( "0 1=2\r<BR>\n" );
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document.write( "Therfore you read off your solution that x=3 and y=2 because column 1 relates to x and column 2 is y.<BR>\n" );
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