document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=627732>Question 627732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello My name is Aj and this is my problem:\r<BR>\n" );
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document.write( "I must \"Solve for given variable\" (I presume they want me to solve for \"x\")\r<BR>\n" );
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document.write( "(3x +4)/(x -2) = 5/6   The answer is \" x = -(34/13) \"\r<BR>\n" );
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document.write( "THINGS I HAVE TRIED\r<BR>\n" );
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document.write( "Step 1 : (3x +4)/(x -2) = 5/6 <BR>\n" );
document.write( "          vvvvvvvvvvvv <BR>\n" );
document.write( "             2x -2      = 5/6         \r<BR>\n" );
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document.write( "(I divided the two set of numbers because I  didn't know any other way of getting rid of the second variable.) \r<BR>\n" );
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document.write( "Step 2 :     2x -2      = 5/6<BR>\n" );
document.write( "                (add +2 to both sides to get rid of the \"-2\")<BR>\n" );
document.write( "             vvvvv        vvv<BR>\n" );
document.write( "               2x       = 17/6<BR>\n" );
document.write( "                   <BR>\n" );
document.write( "Step 3 :       (2x)/2       = (17/6)/2<BR>\n" );
document.write( "               vvvvvv         vvvvvvvv<BR>\n" );
document.write( "                 x          = ? <BR>\n" );
document.write( "(I don't even know how to go about finishing this. but whatever this answer would end up being, im pretty sure its not \" x = -(34/13)\" )\r<BR>\n" );
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document.write( "My question is,\"What am I doing wrong, and How do I correctly solve for \" x \". \"\r<BR>\n" );
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document.write( " Thank you for you time and your assistance,<BR>\n" );
document.write( " AJ.\r<BR>\n" );
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document.write( "                    <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #395095 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=395095\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "In general <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{a\ +\ b}{c\ +\ d}\ \neq\ \frac{a}{c}\ +\ \frac{b}{d}\">.  And even so, how did you manage to come up with <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{3x}{x}\ =\ 2x\ \">?\r<BR>\n" );
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document.write( "What you need to do first is <b><i>cross-multiply</i></b>.  In general, the process is the numerator on one side of the equals sign times the denominator on the other side is equal to the denominator on the first side times the numerator on the other side, thus:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{x}{y}\ =\ \frac{w}{z}\ \Rightarrow\ xz\ =\ wy\">\r<BR>\n" );
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document.write( "To specifics:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{3x\ +\ 4}{x\ -\ 2}\ =\ \frac{5}{6}\">\r<BR>\n" );
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document.write( "Applying the cross-multiply process:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 6(3x\ +\ 4)\ =\ 5(x\ -\ 2)\">\r<BR>\n" );
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document.write( "Distribute to remove parentheses:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 18x\ +\ 24\ =\ 5x\ -\ 10\">\r<BR>\n" );
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document.write( "I'll let you take it from here.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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