document.write( "Question 1100461: How am i to get the solution to the equation |x-3|=2x+1?
\n" ); document.write( "It says I am to end up with a extraneous solution, but I do not know what that means or how to get it. \n" ); document.write( "
Algebra.Com's Answer #714947 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
|x-3| = 2x+1
\n" ); document.write( "x - 3 = 2x + 1
\n" ); document.write( "-3 - 1 = 2x - x
\n" ); document.write( "-4 = x, an extraneous solution, as you can see if you substitute in the original equation
\n" ); document.write( "|-4 - 3| = 2(-4) + 1
\n" ); document.write( "|-7| = -8 + 1
\n" ); document.write( "Absolute is always positive
\n" ); document.write( "+7 does not = -7
\n" ); document.write( ":
\n" ); document.write( "Solution 2
\n" ); document.write( "|x - 3| = 2x + 1
\n" ); document.write( "x - 3 = -(2x + 1)
\n" ); document.write( "x - 3 = -2x - 1
\n" ); document.write( "x + 2x = -1 + 3
\n" ); document.write( "3x = 2
\n" ); document.write( "x = 2/3, this solution will work in the original equation
\n" ); document.write( ":
\n" ); document.write( "|(2/3)-3)| = 2(2/3) + 1
\n" ); document.write( "|- 7/3| = +7/3
\n" ); document.write( "+7/3 = +7/3 \n" ); document.write( "
\n" );