document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1141158>Question 1141158</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system by using the inverse of the coefficient matrix A. \r<BR>\n" );
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document.write( "2x + 4y = 5<BR>\n" );
document.write( "−x + 3y = −2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #762112 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=762112\">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=2x+%2B+4y+=+5 ALIGN=MIDDLE  ALT=\"2x+%2B+4y+=+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+%2B+3y+=+-2 ALIGN=MIDDLE  ALT=\"-x+%2B+3y+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Your matrix:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C3%2C2%2C%094%2C%095%2C%0D%0A-1%2C%093%2C%09-2%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C3%2C2%2C%094%2C%095%2C%0D%0A-1%2C%093%2C%09-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Write the main matrix:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C2%2C%0D%0A2%2C%094%2C%0D%0A-1%2C%093%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C2%2C%0D%0A2%2C%094%2C%0D%0A-1%2C%093%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=D=2%2A3-4%28-1%29=6%2B4=10 ALIGN=MIDDLE  ALT=\"D=2%2A3-4%28-1%29=6%2B4=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Determinant is not zero, therefore inverse matrix exists:\r<BR>\n" );
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document.write( "Calculate the inverse matrix\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C2%2C3%2F10%2C%09-2%2F5%2C%0D%0A1%2F10%2C%091%2F5%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C2%2C3%2F10%2C%09-2%2F5%2C%0D%0A1%2F10%2C%091%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply the inverse matrix by the solution vector:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C1%2C23%2F10%2C%0D%0A1%2F10%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C1%2C23%2F10%2C%0D%0A1%2F10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solution set:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+23%2F10 ALIGN=MIDDLE  ALT=\"x+=+23%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+1%2F10 ALIGN=MIDDLE  ALT=\"y+=+1%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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