document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=247744>Question 247744</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to find the values for X and Y in the following problem\r<BR>\n" );
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document.write( "(2/X)+(3/2Y)=(11/4)<BR>\n" );
document.write( "(5/2X)-(2/Y)=(2/3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180615 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=180615\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to find the values for X and Y in the following problem <BR>\n" );
document.write( "(2/X)+(3/2Y)=(11/4)<BR>\n" );
document.write( "(5/2X)-(2/Y)=(2/3)<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Let 1/x = a ; Let 1/y = b<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Rewrite the equations:<BR>\n" );
document.write( "2a + (3/2)b = 11/4<BR>\n" );
document.write( "(5/2)a - 2b = 2/3<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Multiply thru 1st by 4 and 2nd by 6 to get:<BR>\n" );
document.write( "8a + 6b = 11<BR>\n" );
document.write( "15a - 12b = 4<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Multiply thru 1st by 2 to get:<BR>\n" );
document.write( "16a + 12b = 22<BR>\n" );
document.write( "15a - 12b = 4<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Add and solve for \"a\"<BR>\n" );
document.write( "31a = 26<BR>\n" );
document.write( "a = 26/31<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Substitute into 8a+6b=11 and solve for \"b\"<BR>\n" );
document.write( "8(26/31) + 6b = 11<BR>\n" );
document.write( "(208/31) + 6b = 11<BR>\n" );
document.write( "6b = 133/31<BR>\n" );
document.write( "b = 133/186<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Convert back to x and y<BR>\n" );
document.write( "x = 1/a = 31/26<BR>\n" );
document.write( "y = 1/b = 186/133 <BR>\n" );
document.write( "========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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