document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255440>Question 255440</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I am having a problem solving this matrix equation... \r<BR>\n" );
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document.write( "Find x and y\r<BR>\n" );
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document.write( "[3 -6 1] [2] [-23]<BR>\n" );
document.write( "[x 4 0]  [4]=[12]<BR>\n" );
document.write( "the y is under the 4 in brackets </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187691 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=187691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C3%2C3%2C-6%2C1%2Cx%2C4%2C0%29%29%2A%28matrix%283%2C1%2C2%2C4%2Cy%29%29=%28matrix%282%2C1%2C-23%2C12%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given matrix equation\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%283%29%282%29%2B%28-6%29%284%29%2B%281%29%28y%29%2C%28x%29%282%29%2B%284%29%284%29%2B%280%29%28y%29%29%29=%28matrix%282%2C1%2C-23%2C12%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Use <a  rel=nofollow HREF=http://en.wikipedia.org/wiki/Matrix_multiplication>matrix multiplication</a> to expand the left side.\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-18%2By%2C16%2B2x%29%29=%28matrix%282%2C1%2C-23%2C12%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C-18%2By%2C16%2B2x%29%29=%28matrix%282%2C1%2C-23%2C12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and simplify\r<BR>\n" );
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document.write( "Since the matrices are equal, this means that their corresponding entries are equal. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-18%2By=-23 ALIGN=MIDDLE  ALT=\"-18%2By=-23\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2B2x=12 ALIGN=MIDDLE  ALT=\"16%2B2x=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve each equation to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <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( "So the solutions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <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;\" > which means that \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C3%2C3%2C-6%2C1%2C-2%2C4%2C0%29%29%2A%28matrix%283%2C1%2C2%2C4%2C-5%29%29=%28matrix%282%2C1%2C-23%2C12%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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