document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252374>Question 252374</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The real numbers x and y satisfy the equations y(2x &#8722; 3y) = 19 and<BR>\n" );
document.write( " x(3x &#8722; 4 y) = 94 . Evaluate |x-y |.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184269 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=184269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This one appears a bit tricky. We have two equations and two unknowns:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%282x+-+3y%29+=+19 ALIGN=MIDDLE  ALT=\"y%282x+-+3y%29+=+19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%283x+-+4y%29+=+94 ALIGN=MIDDLE  ALT=\"x%283x+-+4y%29+=+94\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "step 1: divide the first equation by y and the second equation by x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+-+3y%29+=+19%2Fy ALIGN=MIDDLE  ALT=\"%282x+-+3y%29+=+19%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x+-+4y%29+=+94%2Fx ALIGN=MIDDLE  ALT=\"%283x+-+4y%29+=+94%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "step 2: multiply the first equation by -1 and add the two equations together.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x+%2B+3y+=+-19%2Fy ALIGN=MIDDLE  ALT=\"-2x+%2B+3y+=+-19%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++3x+-+4y+=+94%2Fx ALIGN=MIDDLE  ALT=\"++3x+-+4y+=+94%2Fx\"   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+-+y+=+94%2Fx+-+19%2Fy ALIGN=MIDDLE  ALT=\"x+-+y+=+94%2Fx+-+19%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "step #3: We can take the absolute value of both sides. absolute value (x-y) = 94/x - 19/y\r<BR>\n" );
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document.write( "I think this is what you are looking for? </SPAN>\n" );
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