document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131435>Question 1131435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3x - 2y = 5<BR>\n" );
document.write( "x - y   = 0<BR>\n" );
document.write( "solve the following pairs of simultaneous equations using the matrix method. give answers as ordered pairs  (x, you)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #748130 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=748130\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> using inverse matrix:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+-+2y+=+5 ALIGN=MIDDLE  ALT=\"3x+-+2y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+y+=+0 ALIGN=MIDDLE  ALT=\"x+-+y+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=matrix%282%2C2%2C3%2C-2%2C1%2C-1%29 ALIGN=MIDDLE  ALT=\"A=matrix%282%2C2%2C3%2C-2%2C1%2C-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=matrix%282%2C1%2C5%2C0%29 ALIGN=MIDDLE  ALT=\"B=matrix%282%2C1%2C5%2C0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+ ALIGN=MIDDLE  ALT=\"A+\"   DISABLED_style= \"max-width:90%; height:auto;\" >is invertible and \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E-1=matrix%282%2C2%2C1%2C-2%2C1%2C-3%29 ALIGN=MIDDLE  ALT=\"A%5E-1=matrix%282%2C2%2C1%2C-2%2C1%2C-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then you get \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=A%5E1%2AB+ ALIGN=MIDDLE  ALT=\"X=A%5E1%2AB+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C1%2C-2%2C1%2C-3%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2C1%2C-2%2C1%2C-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C5%2C0%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C5%2C0%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C1%2C1%2A5%2B%28-2%29%2A0%2C1%2A5%2B%28-3%29%2A0%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C1%2C1%2A5%2B%28-2%29%2A0%2C1%2A5%2B%28-3%29%2A0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C5+%2B+0%2C5+%2B+0%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C5+%2B+0%2C5+%2B+0%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C+5%2C5%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C+5%2C5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
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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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5 ALIGN=MIDDLE  ALT=\"y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or using Cramer's rule:\r<BR>\n" );
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document.write( "&#8710; = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+matrix%282%2C2%2C3%2C%09-2%2C%0D%0A1%2C%09-1%29=+-1 ALIGN=MIDDLE  ALT=\"+matrix%282%2C2%2C3%2C%09-2%2C%0D%0A1%2C%09-1%29=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "&#8710; [1]= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+matrix%282%2C2%2C5%2C%09-2%2C%0D%0A0%2C%09-1%29=+-5 ALIGN=MIDDLE  ALT=\"+matrix%282%2C2%2C5%2C%09-2%2C%0D%0A0%2C%09-1%29=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "&#8710; [2]=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++matrix%282%2C2%2C3%2C%095%2C%0D%0A1%2C%090%29=+-5 ALIGN=MIDDLE  ALT=\"++matrix%282%2C2%2C3%2C%095%2C%0D%0A1%2C%090%29=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >=&#8710; [1]/&#8710; =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F-1=5 ALIGN=MIDDLE  ALT=\"-5%2F-1=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >=&#8710; [2]/&#8710; =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F-1=5 ALIGN=MIDDLE  ALT=\"-5%2F-1=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );