document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=47337>Question 47337</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve using Cramer's Rule.\r<BR>\n" );
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document.write( "-2x + 3y = 16<BR>\n" );
document.write( "4x = -3y + 40  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31284 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=31284\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -2x + 3y = 16<BR>\n" );
document.write( "4x = -3y + 40\r<BR>\n" );
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document.write( "becomes<BR>\n" );
document.write( "-2x + 3y = 16<BR>\n" );
document.write( "4x + 3y = 40\r<BR>\n" );
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document.write( "in matrix form, we have:\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%0A-2%2C+3%2C%0D%0A4%2C+3%29+ ALIGN=MIDDLE  ALT=\"+matrix%282%2C2%2C%0D%0A-2%2C+3%2C%0D%0A4%2C+3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And its determinant is (-2)(3) - (4)(3)<BR>\n" );
document.write( "D = -6 - 12<BR>\n" );
document.write( "D = -18\r<BR>\n" );
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document.write( "Now re-write the matrix as: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+matrix%282%2C2%2C%0D%0A16%2C+3%2C%0D%0A40%2C+3%29+ ALIGN=MIDDLE  ALT=\"+matrix%282%2C2%2C%0D%0A16%2C+3%2C%0D%0A40%2C+3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "to calculate the x-version Determinant, Dx --> (16)(3) - (40)(3)<BR>\n" );
document.write( "Dx = 48 - 120<BR>\n" );
document.write( "Dx = - 72\r<BR>\n" );
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document.write( "Now re-write the matrix as: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+matrix%282%2C2%2C%0D%0A-2%2C+16%2C%0D%0A4%2C+40%29+ ALIGN=MIDDLE  ALT=\"+matrix%282%2C2%2C%0D%0A-2%2C+16%2C%0D%0A4%2C+40%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "to calculate the y-version Determinant, Dy --> (-2)(40) - (16)(4)<BR>\n" );
document.write( "Dy = -80 - 64<BR>\n" );
document.write( "Dy = -144\r<BR>\n" );
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document.write( "Now, x = Dx/D<BR>\n" );
document.write( "x = -72/-18<BR>\n" );
document.write( "x = 4\r<BR>\n" );
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document.write( "and y = Dy/D<BR>\n" );
document.write( "y = -144/-18<BR>\n" );
document.write( "y = 8\r<BR>\n" );
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document.write( "check:<BR>\n" );
document.write( "-2x + 3y = 16<BR>\n" );
document.write( "-2(4) + 3(8)<BR>\n" );
document.write( "-8 + 24<BR>\n" );
document.write( "16 --> correct\r<BR>\n" );
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document.write( "4x + 3y = 40<BR>\n" );
document.write( "4(4) + 3(8)<BR>\n" );
document.write( "16 + 24<BR>\n" );
document.write( "40 --> correct\r<BR>\n" );
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document.write( "Look at my Lesson on a 3x3 Matrix using Cramer's Rule\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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