document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79277>Question 79277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello.  I'm trying to solve the following system, but I keep running into fractions rather than whole numbers.  (1) If I get rid of the fractions on the first equation by multiplying it by 8, then again by 12... and (2) multiply the second equation by 10 to eliminate Y, I get X = 1644/38 or 4.2590.\r<BR>\n" );
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document.write( "On the other hand, if I try by susbstitution (Y=5x/12 - 252) from the second equation into the first one, I get X = 79.33.\r<BR>\n" );
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document.write( "(7/2)X + (5/4)Y = 4<BR>\n" );
document.write( "(5/6)X - 2Y = 21\r<BR>\n" );
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document.write( "What am I doing wrong?  Shouldn't I get a whole number for an answer?  Please help.  Thanks for your generosity. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59269 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=59269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (7/2)X + (5/4)Y = 4<BR>\n" );
document.write( "(5/6)X - 2Y = 21 <BR>\n" );
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document.write( "Multiply thru 1st be 8 and 2nd by 6 to get:<BR>\n" );
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document.write( "28x + 10y = 32<BR>\n" );
document.write( "5x  - 12y = 126<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Divide thru 1st be 2 to get:<BR>\n" );
document.write( "14x + 5y = 16<BR>\n" );
document.write( "5x  - 12y = 126<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Multiply 1st by 5 and 2nd by 14 so you can get rid of the x terms:<BR>\n" );
document.write( "70x + 25y = 80<BR>\n" );
document.write( "70x - 168y = 1764<BR>\n" );
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document.write( "Subtract 1st from 2nd to get:<BR>\n" );
document.write( "-193y = 1684<BR>\n" );
document.write( "y = -8.7254<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Go back two steps:<BR>\n" );
document.write( "Multiply 1st by 12 and 2nd by 5 to get rid of the y terms:<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "168x + 60y = 192<BR>\n" );
document.write( "25x  - 60y = 630<BR>\n" );
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document.write( "Add to get rid of the y-terms and to solve for \"x\":<BR>\n" );
document.write( "193x = 822<BR>\n" );
document.write( "x= 4.2591<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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