document.write( "Question 52097: 2xy+x=12 Please solve for y. Show steps. thank you. \n" ); document.write( "
Algebra.Com's Answer #34745 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
2xy + x = 12  Please solve for y. \r\n" );
document.write( "Show steps. thank you.\r\n" );
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document.write( "Subtract x from both sides:\r\n" );
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document.write( "2xy + x = 12\r\n" );
document.write( "    - x      - x\r\n" );
document.write( "----------------\r\n" );
document.write( "2xy     = 12 - x\r\n" );
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document.write( "Divide both sides by 2x\r\n" );
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document.write( "   2xy     12 - x\r\n" );
document.write( "  ----- = --------\r\n" );
document.write( "    2x       2x\r\n" );
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document.write( "    1\r\n" );
document.write( "   2xy     12 - x\r\n" );
document.write( "  ----- = -------\r\n" );
document.write( "    2x       2x \r\n" );
document.write( "     1\r\n" );
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document.write( "           12 - x\r\n" );
document.write( "      y  = -------\r\n" );
document.write( "             2x\r\n" );
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document.write( "That's it!  Warning:\r\n" );
document.write( "Don't do any cancelling\r\n" );
document.write( "in this stage because the \r\n" );
document.write( "numerator contains a \r\n" );
document.write( "subtraction!\r\n" );
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document.write( "You can leave the answer\r\n" );
document.write( "that way. Or else you\r\n" );
document.write( "can separate it into two\r\n" );
document.write( "fractions like this\r\n" );
document.write( "first: \r\n" );
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document.write( "            12      x\r\n" );
document.write( "      y  = ---- - ----\r\n" );
document.write( "            2x     2x\r\n" );
document.write( "        \r\n" );
document.write( "And then you can cancel the\r\n" );
document.write( "2 into the 12 in the first\r\n" );
document.write( "fraction and cancel the x's\r\n" );
document.write( "in the second fraction:\r\n" );
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document.write( "             6      1\r\n" );
document.write( "            12      x\r\n" );
document.write( "      y  = ---- - ----\r\n" );
document.write( "            2x     2x \r\n" );
document.write( "            1       1\r\n" );
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document.write( "            6     1\r\n" );
document.write( "      y  = --- - ---\r\n" );
document.write( "            x     2\r\n" );
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document.write( "Either answer is perfectly correct.\r\n" );
document.write( "They are equivalent even though they\r\n" );
document.write( "don't look the same.  Use this one\r\n" );
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document.write( "           12 - x\r\n" );
document.write( "      y  = -------\r\n" );
document.write( "             2x\r\n" );
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document.write( "if you want y to equal to just one \r\n" );
document.write( "fraction. Or use this one\r\n" );
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document.write( "            6     1\r\n" );
document.write( "      y  = --- - ---\r\n" );
document.write( "            x     2\r\n" );
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document.write( "if you don't mind having two\r\n" );
document.write( "separate fractions.  Either way\r\n" );
document.write( "is correct, just don't try to \r\n" );
document.write( "cancel without first separating \r\n" );
document.write( "into two fractions.\r\n" );
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document.write( "Edwin
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