document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=18418>Question 18418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem.  Using inverse Matrix to Solve Linear System.<BR>\n" );
document.write( "  3x - 7y = -16 <BR>\n" );
document.write( "  -2x + 4y =18 \r<BR>\n" );
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document.write( "                                         Thanks for your time.<BR>\n" );
document.write( "                                                            Kat </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #8801 by </B><A HREF=/tutors/aboutme.mpl?userid=Alwayscheerful><B>Alwayscheerful(414)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alwayscheerful><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=8801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Put your equations into AX=B. Then solve for X!<BR>\n" );
document.write( "HINT: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=A%5E-1+%2AB ALIGN=MIDDLE  ALT=\"X=A%5E-1+%2AB\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, this is inverse form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C3%2C-7%2C-2%2C4%29%29%2A%28matrix%282%2C1%2Cx%2Cy%29%29=%28matrix%282%2C1%2C-16%2C18%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since you can't divide by matrices, you must take the inverse of the matrix, in other words, make it to the power of -1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2Cx%2Cy%29%29=%28matrix%282%2C2%2C3%2C-7%2C-2%2C4%29%29%5E-1%2A%28matrix%282%2C1%2C-16%2C18%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then you can use your calculator to solve<BR>\n" );
document.write( "The inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C3%2C-7%2C-2%2C4%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2C3%2C-7%2C-2%2C4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C-2%2C-3.5%2C-1%2C-1.5%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2C-2%2C-3.5%2C-1%2C-1.5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then you multiply it with the 2x1 matrix<BR>\n" );
document.write( "You should end up with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C-31%2C-11%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C-31%2C-11%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as your final matrix.<BR>\n" );
document.write( "Hope this helps! </SPAN>\n" );
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