document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077537>Question 1077537</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Use cramer's rule to solve the following system of equations.\r<BR>\n" );
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document.write( "5x-2y=19<BR>\n" );
document.write( "7x+3y=15<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 #692098 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=692098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Putting the equations into matrix form, Ax = B, we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28matrix%282%2C2%2C+%0D%0A5%2C-2%2C%0D%0A7%2C3%29%29+%2A+%28matrix%282%2C1%2Cx%5B1%5D%2Cx%5B2%5D+%29%29+++=+%28matrix%282%2C1%2C19%2C15%29%29++ ALIGN=MIDDLE   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=+x%5Bi%5D+=+det%28A%5Bi%5D%29%2Fdet%28A%29+ ALIGN=MIDDLE  ALT=\"+x%5Bi%5D+=+det%28A%5Bi%5D%29%2Fdet%28A%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bi%5D ALIGN=MIDDLE  ALT=\"A%5Bi%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is A with column i replaced by B\r<BR>\n" );
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document.write( "det(A) = 5*3-(-2*7) = 15+14 = 29<BR>\n" );
document.write( "det(A1) = 19*3-(15*-2) = 57-(-30) = 87<BR>\n" );
document.write( "det(A2) = 5*15-(7*19) = 75 - 133 = -58\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5B1%5D+=+87%2F29+=+3+ ALIGN=MIDDLE  ALT=\"+x%5B1%5D+=+87%2F29+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5B2%5D+=+-58%2F29+=+-2+ ALIGN=MIDDLE  ALT=\"+x%5B2%5D+=+-58%2F29+=+-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Ans:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28x+=+%28matrix%282%2C1%2C+3%2C-2%29%29%29+ ALIGN=MIDDLE  ALT=\"+highlight%28x+=+%28matrix%282%2C1%2C+3%2C-2%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "I checked it, but you can also check  that Ax = B,  or you can plug into the original equations (x=x1, y=x2).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28matrix%282%2C2%2C+%0D%0A5%2C-2%2C%0D%0A7%2C3%29%29+%2A+%28matrix%282%2C1%2C+3%2C+-2+%29%29+++=+%28matrix%282%2C1%2C19%2C15%29%29++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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