document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=652268>Question 652268</A>: <I><SPAN STYLE=\"word-break: break-all;\"> /2z-3/=4z-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #407939 by </B><A HREF=/tutors/aboutme.mpl?userid=Shana-D77><B>Shana-D77(132)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Shana-D77><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=Shana-D77><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=407939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the absolute value of anything can be equal to either a number or the opposite of a number.  Ex: |-5| = 5 (opposite of what's inside) |5| = 5 (exactly what's inside)\r<BR>\n" );
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document.write( "So, |2z - 3| = 4z - 1 or |2z - 3| = -(4z - 1)\r<BR>\n" );
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document.write( "2z - 3 = 4z - 1     or    2z - 3 = -4z + 1\r<BR>\n" );
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document.write( "Solve both equations for z, you get...\r<BR>\n" );
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document.write( "z = -1      and                z = 2/3\r<BR>\n" );
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document.write( "Wait!  We have to throw out -1 because |2(-1) - 3| = |-5| = 5 and the other side would be 4(-1) - 1 = -5.  5 does not equal -5!\r<BR>\n" );
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document.write( "So the only answer that works is z = 2/3 (make sure you check both as sometimes neither may work) </SPAN>\n" );
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