document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=373268>Question 373268</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to solve this linear equation: <BR>\n" );
document.write( "2/3x-1/4y=11/-3<BR>\n" );
document.write( "1/3x+3/5y=16/15 \r<BR>\n" );
document.write( "\n" );
document.write( "The solution is (-4,4). I just don't know the steps to solving it.<BR>\n" );
document.write( "Can you please help me with the steps? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #265719 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=265719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, There's a couple ways to attack this problem. <BR>\n" );
document.write( "2/3x-1/4y=11/-3<BR>\n" );
document.write( "1/3x+3/5y=16/15 <BR>\n" );
document.write( "Let's multiply the second equation by -2 to get:<BR>\n" );
document.write( "-2/3x-6/5y=-32/15<BR>\n" );
document.write( "Now add this to the first to get (note, we need to change the fractions to same denominator):<BR>\n" );
document.write( "-29/20y=-87/15<BR>\n" );
document.write( "Let's get rid of the fractions by multiplying by 60:<BR>\n" );
document.write( "-87y=-348<BR>\n" );
document.write( "Divide both sides by -87 to get:<BR>\n" );
document.write( "y=4 <BR>\n" );
document.write( "Now plug this into either equation and we end up with:<BR>\n" );
document.write( "x=-4<BR>\n" );
document.write( "Make sense?<BR>\n" );
document.write( "RJ<BR>\n" );
document.write( "www.math-unlock.com </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );