document.write( "Question 241600: How do you solve this type of absolute value equation? It has a number outside the absolute value symbol that would indicate the distributive property, but it isn't matching the answers in the back when I tried that. Here is an example:\r
\n" ); document.write( "\n" ); document.write( "3/5 |3x+2| +5 = y\r
\n" ); document.write( "\n" ); document.write( "Would you try the 2 solutions, one positive and one negative? But I can't see how to do that when you don't know what x is.\r
\n" ); document.write( "\n" ); document.write( "Thanks!
\n" ); document.write( "

Algebra.Com's Answer #176966 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The way I approach it is to disassemble it, then put it back together
\n" ); document.write( "\"%283%2F5%29%2Aabs%283x%2B2%29+%2B5+=+y\"
\n" ); document.write( "I'll disregard the \"5\" and the \"3%2F5\" for now
\n" ); document.write( "\"abs%283x%2B2%29+=+y\"
\n" ); document.write( "y can never be negative
\n" ); document.write( "When \"x+=+-%282%2F3%29\", \"y+=+0\"
\n" ); document.write( "I'll plot it
\n" ); document.write( " \"+graph%28+400%2C+400%2C+-4%2C+4%2C+-4%2C+4%2C+abs%283x%2B2%29%29+\"
\n" ); document.write( "Now I'll factor in the \"3%2F5\", and plot that
\n" ); document.write( " \"+graph%28+400%2C+400%2C+-4%2C+4%2C+-4%2C+4%2C++%283%2F5%29%2Aabs%283x%2B2%29%29+\"
\n" ); document.write( "The plot is spread out, since \"y\" is now less for every \"x\"
\n" ); document.write( "Now I'll add \"5\" to the last plot
\n" ); document.write( " \"+graph%28+400%2C+400%2C+-4%2C+4%2C+-2%2C+8%2C+%283%2F5%29%2Aabs%283x%2B2+%29+%2B+5%29+\"
\n" ); document.write( "Since there are 2 variables, the solution is the plot
\n" ); document.write( "Do you want inequalities? You can get those from the plot, too
\n" ); document.write( "
\n" );