document.write( "Question 488000: how do you do this problem about absolute value?: 5|3x-4|=x+1 \n" ); document.write( "

Algebra.Com's Answer #333227 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Divide both sides by 5\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Break into two equations because there are two cases,\r\n" );
document.write( "\r\n" );
document.write( "1. what's between the absolute value bars could equal the right side\r\n" );
document.write( "2. what's between the absolute value bars could equal the negative of\r\n" );
document.write( "the opposite side.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "   3x-4 = (x+1)/5       3x-4 = -(x+1)/5\r\n" );
document.write( "5(3x-4) = x+1        5(3x-4) = -(x+1)\r\n" );
document.write( " 15x-20 = x+1         15x-20 = -x-1\r\n" );
document.write( "    14x = 21             16x = 19\r\n" );
document.write( "      x = 21/14            x = 19/16\r\n" );
document.write( "      x = 3/2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Two solutions:  3/2 and 19/16\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );