document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=32692>Question 32692</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use Cramer's Rule to solve the  following pair of simultaneous linear equations:<BR>\n" );
document.write( "3x = -7 + 2y;  5y = 8 - 2x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #19187 by </B><A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><B>mukhopadhyay(490)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><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=19187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x = -7 + 2y<BR>\n" );
document.write( "=> 3x-2y = -7;<BR>\n" );
document.write( "5y = 8 - 2x<BR>\n" );
document.write( "=> 2x+5y = 8;<BR>\n" );
document.write( "Based on Cramer's rule,<BR>\n" );
document.write( "x = Determinant(x)/Determinant..... (1)<BR>\n" );
document.write( "y = Determinant(y)/Determinant..... (2)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Determinant {(3,-2);(2,5)} = 15+4 = 19;<BR>\n" );
document.write( "Determinant (x) {(-7,-2);(8,5)} = -35 + 16 = -19;<BR>\n" );
document.write( "Determinant (y) {(3,-7);(2,8)}  = 24 + 14 = 38;<BR>\n" );
document.write( "........<BR>\n" );
document.write( "From (1): x = -19/19 = -1;<BR>\n" );
document.write( "From (2): y = 38/19 = 2;<BR>\n" );
document.write( "Answer: x = -1 and y = 2\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );