document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=562644>Question 562644</A>: <I><SPAN STYLE=\"word-break: break-all;\"> |5x-1|+7=3x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364644 by </B><A HREF=/tutors/aboutme.mpl?userid=issacodegard><B>issacodegard(60)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=issacodegard><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=issacodegard><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=364644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll prove that there is no solution.<BR>\n" );
document.write( "Suppose that there is a solution x.<BR>\n" );
document.write( "Then suppose 5x-1>=0.  Then x>=1/5.  And we have,<BR>\n" );
document.write( "|5x-1|+7=3x<BR>\n" );
document.write( "5x-1+7=3x<BR>\n" );
document.write( "2x=-6<BR>\n" );
document.write( "x=-3<BR>\n" );
document.write( "But, this is not possible since x>=1/5.<BR>\n" );
document.write( "So, suppose 5x-1<=0.  Then x<=1/5.  We have,<BR>\n" );
document.write( "|5x-1|+7=3x<BR>\n" );
document.write( "-(5x-1)+7=3x<BR>\n" );
document.write( "-5x+1+7=3x<BR>\n" );
document.write( "8x=8<BR>\n" );
document.write( "x=1<BR>\n" );
document.write( "But, this is not possible since x<=1/5.<BR>\n" );
document.write( "So, by contradiction, there is no solution.<BR>\n" );
document.write( "Looking at the graphs of the left hand and right hand sides of the equation will show that they don't intersect. </SPAN>\n" );
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