document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147753>Question 147753</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321067142/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> use the echelon method to solve.\r<BR>\n" );
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document.write( "x + y/3 = -6\r<BR>\n" );
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document.write( "x/5 + y/4 = -7/4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108189 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=108189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2F3=-6 ALIGN=MIDDLE  ALT=\"x%2By%2F3=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F5%2By%2F4=-7%2F4 ALIGN=MIDDLE  ALT=\"x%2F5%2By%2F4=-7%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or in matrix form,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+2%2C+2%2C+%0D%0A+++1%2C+1%2F3%2C+%0D%0A+++1%2F5%2C+1%2F4%29%29%2A%28matrix%282%2C1%2Cx%2Cy%29%29=%28matrix%282%2C1%2C-6%2C-7%2F4%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply eq. 1 by (-1/5) and add to eq. 2, to remove x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F5%29x-y%2F15=6%2F5 ALIGN=MIDDLE  ALT=\"%28-1%2F5%29x-y%2F15=6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F5%2By%2F4=-7%2F4 ALIGN=MIDDLE  ALT=\"x%2F5%2By%2F4=-7%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2'.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F15%2B1%2F4%29y=6%2F5-7%2F4 ALIGN=MIDDLE  ALT=\"%28-1%2F15%2B1%2F4%29y=6%2F5-7%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2'.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811%2F60%29y=-11%2F20 ALIGN=MIDDLE  ALT=\"%2811%2F60%29y=-11%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now your two equations, in echelon form, are<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2F3=-6 ALIGN=MIDDLE  ALT=\"x%2By%2F3=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "2'.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0x%2B%2811%2F60%29y=-11%2F20 ALIGN=MIDDLE  ALT=\"0x%2B%2811%2F60%29y=-11%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or in matrix form,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0A+matrix%28+2%2C+2%2C+%0D%0A+++1%2C+1%2F3%2C+%0D%0A+++0%2C+11%2F60%29%29%2A%28matrix%282%2C1%2Cx%2Cy%29%29=%28matrix%282%2C1%2C-6%2C-11%2F20%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "You can solve for y from 2'.<BR>\n" );
document.write( "2'.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811%2F60%29y=-11%2F20 ALIGN=MIDDLE  ALT=\"%2811%2F60%29y=-11%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%2811%2F20%29%2860%2F11%29 ALIGN=MIDDLE  ALT=\"y=-%2811%2F20%29%2860%2F11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3 ALIGN=MIDDLE  ALT=\"y=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From 1,<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2F3=-6 ALIGN=MIDDLE  ALT=\"x%2By%2F3=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-6%2B3%2F3 ALIGN=MIDDLE  ALT=\"x=-6%2B3%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-6%2B1 ALIGN=MIDDLE  ALT=\"x=-6%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );