document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=364565>Question 364565</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system. (Give your answer as an improper fraction. If the system has infinitely many solutions, express your answer in terms of k, where t = t(k) and v = k. If the system has no solution, enter NONE for each answer.) <BR>\n" );
document.write( "1/2t-1/5v=5/2<BR>\n" );
document.write( "2/3t+1/4v=29/12\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #259971 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=259971\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/2t-1/5v=5/2<BR>\n" );
document.write( "2/3t+1/4v=29/12<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Multiply thru 1st by 10<BR>\n" );
document.write( "Multiply thru 2nd by 12<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "5t - 2v = 25<BR>\n" );
document.write( "8t + 3v = 29<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Multiply thru 1st by 3<BR>\n" );
document.write( "Multiply thru 2nd by 2<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "15t - 6t = 3*25<BR>\n" );
document.write( "16t + 6t = 2*29<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Add and solve for \"t\":<BR>\n" );
document.write( "31t = 133<BR>\n" );
document.write( "t = 133/13<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Substitute into 5t-2v = 25 to solve for \"v\":<BR>\n" );
document.write( "5(133/13)-2v = 25<BR>\n" );
document.write( "2v = 340/13<BR>\n" );
document.write( "v = 170/13<BR>\n" );
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document.write( "Ans: The system is independent.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
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