document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=109445>Question 109445</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0028242270/algebrahomeworkh>algebra2 with trigonometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> hi, i really need help with this. find the numerator for the y variable when using cramer's rule to solve x-3y=8 and 2x+2y=8. thanks a bunch!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #79794 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=79794\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First set up a coefficient matrix:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28matrix%282%2C2%2C1%2C-3%2C2%2C2%29%29 ALIGN=MIDDLE  ALT=\"A=%28matrix%282%2C2%2C1%2C-3%2C2%2C2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now find the determinant of the matrix \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=det%28A%29=%282%2A1-2%2A-3%29=2%2B6=8 ALIGN=MIDDLE  ALT=\"det%28A%29=%282%2A1-2%2A-3%29=2%2B6=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So to find the y solution, simply replace the second column of the coefficient matrix with the column <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C8%2C8%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C8%2C8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get the new matrix\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=%28matrix%282%2C2%2C1%2C8%2C2%2C8%29%29 ALIGN=MIDDLE  ALT=\"B=%28matrix%282%2C2%2C1%2C8%2C2%2C8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now find the determinant of this new matrix\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=det%28B%29=%281%2A8-2%2A8%29=8-16=-8 ALIGN=MIDDLE  ALT=\"det%28B%29=%281%2A8-2%2A8%29=8-16=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now divide the determinant of B by the determinant of A to get \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=det%28B%29%2Fdet%28A%29=-8%2F8=-1 ALIGN=MIDDLE  ALT=\"det%28B%29%2Fdet%28A%29=-8%2F8=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the solution for y is -1 (ie <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1 ALIGN=MIDDLE  ALT=\"y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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