document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136141>Question 136141</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use Cramer's Rule to solve the system.<BR>\n" );
document.write( "6x+12y=33<BR>\n" );
document.write( "4x+7y=20<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99694 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=99694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "You need to create three 2X2 matrices of the form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2Ca%2Cb%2Cc%2Cd%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2Ca%2Cb%2Cc%2Cd%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and the value of this matrix is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ad-cb ALIGN=MIDDLE  ALT=\"ad-cb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The first has the coefficients of the variables:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=%28matrix%282%2C2%2C6%2C12%2C4%2C7%29%29 ALIGN=MIDDLE  ALT=\"D=%28matrix%282%2C2%2C6%2C12%2C4%2C7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Use the formula above to calculate the value of D\r<BR>\n" );
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document.write( "The second matrix is the same as the first with the 1st column replaced by constant values on the right side of your equations.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5Bx%5D=%28matrix%282%2C2%2C33%2C12%2C20%2C7%29%29 ALIGN=MIDDLE  ALT=\"D%5Bx%5D=%28matrix%282%2C2%2C33%2C12%2C20%2C7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Use the formula above to calculate the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5Bx%5D ALIGN=MIDDLE  ALT=\"D%5Bx%5D\"   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%5By%5D ALIGN=MIDDLE  ALT=\"D%5By%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the same process, but replace the 2nd column with the constant values.   Use the formula above to calculate the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5By%5D ALIGN=MIDDLE  ALT=\"D%5By%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then Cramer's Rule says:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=D%2FD%5Bx%5D ALIGN=MIDDLE  ALT=\"x=D%2FD%5Bx%5D\"   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=y=D%2FD%5By%5D ALIGN=MIDDLE  ALT=\"y=D%2FD%5By%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-- if the system is independent.  If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D ALIGN=MIDDLE  ALT=\"D\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5Bx%5D ALIGN=MIDDLE  ALT=\"D%5Bx%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5By%5D ALIGN=MIDDLE  ALT=\"D%5By%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0, Cramer's Rule doesn't work. </SPAN>\n" );
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