document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173315>Question 173315</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1602773033/algebrahomeworkh>Saxon Algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve <BR>\n" );
document.write( " 3x+2y=-6<BR>\n" );
document.write( "-2x+5y=23<BR>\n" );
document.write( "and classify the system </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128153 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=128153\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  3x+2y=-6....eq 1<BR>\n" );
document.write( "-2x+5y=23....eq 2\r<BR>\n" );
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document.write( "lets use the process of elimination which means we need to manipulate eq 1 and 2 such that one of the variables is eliminated.  There are various numbers we could multiply by the equations to reach this objective.  Lets multiply eq 1 by 5 and eq 2 by -2 so that the y terms will be eliminated <BR>\n" );
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document.write( "15x+10y=-30...revised eq 1<BR>\n" );
document.write( " 4x-10y=-46....revised eq 2<BR>\n" );
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document.write( "now observing  the equations we can see that when the equations are added to one another that the y terms are eliminated 10y-10y=0.  We are left with<BR>\n" );
document.write( "15x+4x=-30-46<BR>\n" );
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document.write( "19x=-76<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-4%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "now we take x's found value and plug it back into any equation to find y's value. I choose eq 1<BR>\n" );
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document.write( "3(-4)+2y=-6<BR>\n" );
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document.write( "-12+2y=-6<BR>\n" );
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document.write( "2y=6<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=3%29 ALIGN=MIDDLE  ALT=\"highlight%28y=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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