document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=945629>Question 945629</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that x is not equal to 0, y is not equal to 0, and 4x+2y/3y-2x=10/3, find the ratio of x to y. Express your answer in the form a/b where a and b are integers and have no common factors. Thanks for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #576879 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=576879\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Given that x is not equal to 0, y is not equal to 0, and 4x+2y/3y-2x=10/3, find the ratio of x to y. Express your answer in the form a/b where a and b are integers and have no common factors.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284x%2B2y%29%29%2F%28%283y-2x%29%29 ALIGN=MIDDLE  ALT=\"%28%284x%2B2y%29%29%2F%28%283y-2x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F3 ALIGN=MIDDLE  ALT=\"10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "3(4x+2y) = 10(3y-2x)<BR>\n" );
document.write( "12x + 6y = 30y - 20x<BR>\n" );
document.write( "12x + 20x = 30y - 6y<BR>\n" );
document.write( "32x = 24y<BR>\n" );
document.write( "Divide both sides by 8<BR>\n" );
document.write( "4x = 3y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fy ALIGN=MIDDLE  ALT=\"x%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );