document.write( "Question 12681: How do you find the answer for the absolute value of |6x-13|=3? \n" ); document.write( "
Algebra.Com's Answer #6455 by AdolphousC(70)\"\" \"About 
You can put this solution on YOUR website!
Since the absolute value of a number is the POSTIVE DISTANCE FROM ZERO, you can really have two answers |3| = 3 and |-3|=3
\n" ); document.write( "


\n" ); document.write( "Therefor the expression inside the absolute value bars can equal either 3 or -3, so you need to set up two separate expresstions representing that fact.
\n" ); document.write( "

\n" ); document.write( " Expression 1
\n" ); document.write( "\"+6x+-+13+=+3+\"
\n" ); document.write( "Add 13 to both sides
\n" ); document.write( "\"+6x+=+16+\"
\n" ); document.write( "Divide by 6
\n" ); document.write( "\"+x+=+16%2F6+\"
\n" ); document.write( "reduce
\n" ); document.write( "\"+x+=+8%2F3+\"
\n" ); document.write( "

\n" ); document.write( " Expression 2
\n" ); document.write( "\"+6x+-+13+=+-3+\"
\n" ); document.write( "Add 13 to both sides
\n" ); document.write( "\"+6x+=+10+\"
\n" ); document.write( "Divide by 6
\n" ); document.write( "\"+x+=+10%2F6+\"
\n" ); document.write( "reduce
\n" ); document.write( "\"+x+=+5%2F3+\"

\r
\n" ); document.write( "\n" ); document.write( "So either answer will work, if you plug in the Expression 1, you will get
\n" ); document.write( "|3| which is 3, if you plug in Expression 2, you will get |-3| which is ALSO 3 \n" ); document.write( "

\n" );