document.write( "Question 885601: 2. Max was solving the equation below and isn’t sure if his answer is correct. Explain to Max how he can check his answer and then help him identify any errors he made. Provide the correct solution in your explanation.\r
\n" ); document.write( "\n" ); document.write( " 3(3x+6) = 4(7x-1)
\n" ); document.write( " 9x+18 = 28x-1
\n" ); document.write( "9x-9x+18 = 28x-9x-1
\n" ); document.write( " 18 = 19x-1
\n" ); document.write( " 18+1 = 19x-1+1
\n" ); document.write( " 19 = 19x
\n" ); document.write( " 1 = x \n" ); document.write( "
Algebra.Com's Answer #535353 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
2. Max was solving the equation below and isn’t sure if his answer is correct. Explain to Max how he can check his answer and then help him identify any errors he made. Provide the correct solution in your explanation.
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 \r\n" );
document.write( " 3(3x+6) = 4(7x-1)\r\n" );
document.write( "   9x+18 = 28x-1\r\n" );
document.write( "9x-9x+18 = 28x-9x-1\r\n" );
document.write( "      18 = 19x-1\r\n" );
document.write( "    18+1 = 19x-1+1\r\n" );
document.write( "      19 = 19x\r\n" );
document.write( "       1 = x\r\n" );
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document.write( "To check substitute 1 for x in the\r\n" );
document.write( "original equation:\r\n" );
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document.write( " 3(3x+6) = 4(7x-1)\r\n" );
document.write( "3(3*1+6) = 4(7*1-1)\r\n" );
document.write( "  3(3+6) = 4(7-1)\r\n" );
document.write( "    3(9) = 4(6)\r\n" );
document.write( "      27 = 24\r\n" );
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document.write( "So it's incorrect.  So we look for the error:\r\n" );
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document.write( " 3(3x+6) = 4(7x-1)\r\n" );
document.write( "   9x+18 = 28x-1     <-- There it is! That -1 should be a -4\r\n" );
document.write( "9x-9x+18 = 28x-9x-1\r\n" );
document.write( "      18 = 19x-1\r\n" );
document.write( "    18+1 = 19x-1+1\r\n" );
document.write( "      19 = 19x\r\n" );
document.write( "       1 = x\r\n" );
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document.write( "So the error was in the first step.  When distributing on the\r\n" );
document.write( "right to remove the parentheses, he multiplied 4 by the 7x but\r\n" );
document.write( "he forgot to multiply 4 by the -1, and just left it -1.  It\r\n" );
document.write( "should have been -4.\r\n" );
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document.write( "Correction:\r\n" );
document.write( "\r\n" );
document.write( " 3(3x+6) = 4(7x-1)\r\n" );
document.write( "   9x+18 = 28x-4     <-- Got it right this time!\r\n" );
document.write( "9x-9x+18 = 28x-9x-4\r\n" );
document.write( "      18 = 19x-4\r\n" );
document.write( "    18+4 = 19x-4+4\r\n" );
document.write( "      22 = 19x\r\n" );
document.write( "      22 = 19x\r\n" );
document.write( "     \"22%2F19\" = x   <--- what a god-awful answer!!\r\n" );
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document.write( "Checking:\r\n" );
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document.write( "\"3%283x%2B6%29\"\"%22%22=%22%22\"\"4%287x-1%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"3%283%2Aexpr%2822%2F19%29%2B6%29\"\"%22%22=%22%22\"\"4%287%2Aexpr%2822%2F19%29-1%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"3%28expr%2866%2F19%29%2B6%29\"\"%22%22=%22%22\"\"4%28expr%28154%2F19%29-1%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"3%28expr%2866%2F19%29%2B6%2Aexpr%2819%2F19%29%29\"\"%22%22=%22%22\"\"4%28expr%28154%2F19%29-1%2Aexpr%2819%2F19%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"3%28expr%2866%2F19%29%2Bexpr%28114%2F19%29%29\"\"%22%22=%22%22\"\"4%28expr%28154%2F19%29-expr%2819%2F19%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"3%28180%2F19%29\"\"%22%22=%22%22\"\"4%28135%2F19%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"540%2F19\"\"%22%22=%22%22\"\"540%2F19\"\r\n" );
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document.write( "The god-awful answer \"22%2F19\" is correct.  But it was\r\n" );
document.write( "murder to check it!  J\r\n" );
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document.write( "Edwin
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