document.write( "Question 387072: 9 = 6 + |s-3| \n" ); document.write( "
Algebra.Com's Answer #273627 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "             9 = 6 + |s-3|\r\n" );
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document.write( "Isolate the absolute value term on the right by subtracting 6 \r\n" );
document.write( "from both sides\r\n" );
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document.write( "                3 = |s-3|\r\n" );
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document.write( "Since the two equations \" 3 = |3| \" and \" 3 = |-3| \" are both true, we have to\r\n" );
document.write( "make two equations, one for each case that the thing inside the absolute value\r\n" );
document.write( "bars s-3, is either equal to 3 or to -3:\r\n" );
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document.write( "         s-3 = 3     s-3 = -3\r\n" );
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document.write( "Add 3 to each side of both equations:\r\n" );
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document.write( "           s = 6       s = 0\r\n" );
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document.write( "There are usually two solutions for an absolute value equation.  But you might\r\n" );
document.write( "get extraneous solutions, so you'd better check them.\r\n" );
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document.write( "Checking s = 6\r\n" );
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document.write( "             9 = 6 + |s-3|\r\n" );
document.write( "             9 = 6 + |6-3|\r\n" );
document.write( "             9 = 6 + |3|\r\n" );
document.write( "             9 = 6 + 3\r\n" );
document.write( "             9 = 9\r\n" );
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document.write( "Checking s = 0\r\n" );
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document.write( "             9 = 6 + |s-3|\r\n" );
document.write( "             9 = 6 + |0-3|\r\n" );
document.write( "             9 = 6 + |-3|\r\n" );
document.write( "             9 = 6 + 3\r\n" );
document.write( "             9 = 9\r\n" );
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document.write( "They both check.                 \r\n" );
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document.write( "Edwin
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