document.write( "Question 617313: Can some one help on this I need to show how to find the intercept and state what they are for the following.\r
\n" ); document.write( "\n" ); document.write( "3x + 11 - x =20 - 6y +9\r
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Algebra.Com's Answer #388263 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
First, get the equation into the form
\n" ); document.write( "\"+y+=+m%2Ax+%2B+b+\" where \"b\" is the y-intercept
\n" ); document.write( "\"+3x+%2B+11+-+x+=20+-+6y+%2B9++\"
\n" ); document.write( "Add \"+6y+\" to both sides
\n" ); document.write( "\"+6y+%2B+3x+-+x+%2B+11+=+20+%2B+9+\"
\n" ); document.write( "Combine terms
\n" ); document.write( "\"+6y+%2B+2x+%2B+11+=+29+\"
\n" ); document.write( "Subtract \"+2x+\" from both sides
\n" ); document.write( "\"+6y+%2B+11+=+-2x+%2B+29+\"
\n" ); document.write( "Subtract \"+11+\" from both sides
\n" ); document.write( "\"+6y+=+-2x+%2B+18+\"
\n" ); document.write( "Divide both sides by \"+6+\"
\n" ); document.write( "\"+y+=+-%282%2F3%29%2Ax++%2B+3+\"
\n" ); document.write( "The y-intercept occurs where \"+x+=+0+\", so
\n" ); document.write( "\"+y+=+-%282%2F3%29%2A0+%2B+3+\"
\n" ); document.write( "\"+y+=+3+\" is the y-intercept
\n" ); document.write( "----------------------
\n" ); document.write( "The x-intercept occurs at \"+y+=+0+\"
\n" ); document.write( "\"+0+=+-%282%2F3%29%2Ax+%2B+3+\"
\n" ); document.write( "Subtract \"+3+\" from both sides
\n" ); document.write( "\"+-%282%2F3%29%2Ax+=+-3+\"
\n" ); document.write( "Multiply both sides by \"+-%283%2F2%29+\"
\n" ); document.write( "\"+x+=+9%2F2+\" is the x-intercept
\n" ); document.write( "------------------------
\n" ); document.write( "Here's the plot:
\n" ); document.write( "\"+graph%28+400%2C+400%2C+-6%2C+6%2C+-5%2C+5%2C+-%282%2F3%29%2Ax+%2B+3+%29+\"
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