document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762862>Question 762862</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how can i solve the equations 72x+50y=9xy & 90x+70y=12xy\r<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 #464265 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=464265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how can i solve the equations 72x+50y=9xy & 90x+70y=12xy<BR>\n" );
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document.write( "72x+50y=9xy<BR>\n" );
document.write( "90x+70y=12xy<BR>\n" );
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document.write( "Solve both for y<BR>\n" );
document.write( "72x+50y=9xy<BR>\n" );
document.write( "72x = 9xy - 50y = y*(9x - 50)<BR>\n" );
document.write( "y = 72x/(9x-50)<BR>\n" );
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document.write( "90x+70y=12xy<BR>\n" );
document.write( "45x + 35y = 6xy<BR>\n" );
document.write( "45x = 6xy - 35y = y*(6x - 35)<BR>\n" );
document.write( "y = 45x/(6x - 35)<BR>\n" );
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document.write( "since they both equal y,<BR>\n" );
document.write( "72x/(9x-50) = 45x/(6x - 35)<BR>\n" );
document.write( "An obvious solution is x = 0 --> y = 0<BR>\n" );
document.write( "(0,0) is one.<BR>\n" );
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document.write( "72x/(9x-50) = 45x/(6x - 35)<BR>\n" );
document.write( "Divide by x<BR>\n" );
document.write( "72/(9x-50) = 45/(6x - 35)<BR>\n" );
document.write( "8/(9x-50) = 5/(6x - 35)<BR>\n" );
document.write( "8(6x-35) = 5(9x-50)<BR>\n" );
document.write( "48x - 280 = 45x - 250<BR>\n" );
document.write( "3x = 30<BR>\n" );
document.write( "x = 10<BR>\n" );
document.write( "y = 18<BR>\n" );
document.write( "--> (10,18) </SPAN>\n" );
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