document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139211>Question 139211</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "Can you please help me solve this equation\r<BR>\n" );
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document.write( "1. ax+by=r     solve for x<BR>\n" );
document.write( "2. ax+cy=s     solve for y\r<BR>\n" );
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document.write( "there is one bracket ( { ) in front of both equations, just one for both combinded\r<BR>\n" );
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document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101509 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=101509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. ax+by=r     solve for x<BR>\n" );
document.write( "2. ax+cy=s     solve for y<BR>\n" );
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document.write( "If there is a bracket containing both 1. and 2.<BR>\n" );
document.write( "You probably want the solution for the system<BR>\n" );
document.write( "of two equations:<BR>\n" );
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document.write( "Subtract 2 from 1 to get:<BR>\n" );
document.write( "by-cy = r-s<BR>\n" );
document.write( "y(b-c) = r-s<BR>\n" );
document.write( "y = (r-s)/(b-c)<BR>\n" );
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document.write( "Substitute to find \"x\".<BR>\n" );
document.write( "ax + b[(r-s)/(b-c)] = r<BR>\n" );
document.write( "ax(b-c) + b(r-s) = r(b-c)<BR>\n" );
document.write( "x[ab-ac] = bs-rc<BR>\n" );
document.write( "x = (bs-rc)/(ab-ac)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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