document.write( "Question 55640: 2X-3/3=3x+2/5 \n" ); document.write( "
Algebra.Com's Answer #37747 by Edwin McCravy(20056) $\"\"$ $\"About$
You can put this solution on YOUR website!
>2X-3/3=3x+2/5\r\n" );
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document.write( "That is mistyped because when typing a fraction all\r\n" );
document.write( "on one line using this \" / \" for a fraction bar, you\r\n" );
document.write( "must enclose all numerators and denominators within \r\n" );
document.write( "parentheses which contain more than just one number \r\n" );
document.write( "or just one letter. So you should have typed this:\r\n" );
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document.write( "(2x-3)/3 = (3x+2)/5\r\n" );
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document.write( "You wouldn't need to put the denominators within\r\n" );
document.write( "parentheses because they are just one number each.\r\n" );
document.write( "Parentheses aren't necessary when written on\r\n" );
document.write( "two lines with horizontal fraction bars, like this:\r\n" );
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document.write( "     2x-3     3x+2\r\n" );
document.write( "    ------ = ------\r\n" );
document.write( "       3        5\r\n" );
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document.write( "Anyway, the idea is to clear of fractions.\r\n" );
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document.write( "The LCD of 3 and 5 is 15, so multiply both sides by\r\n" );
document.write( "15.  That is, put 15 over 1, like this: \r\n" );
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document.write( " 15  \r\n" );
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document.write( "  1  \r\n" );
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document.write( "then put this in front of every term on both sides:\r\n" );
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document.write( " 15   2x-3     15   3x+2\r\n" );
document.write( "----·------ = ----·------\r\n" );
document.write( "  1     3       1     5\r\n" );
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document.write( "Now cancel the 3 into the 15 on the left, getting 5.\r\n" );
document.write( "Cancel 5 into 15 on the right, getting 3.\r\n" );
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document.write( "  5            3 \r\n" );
document.write( " 15   2x-3     15   3x+2\r\n" );
document.write( "----·------ = ----·------\r\n" );
document.write( "  1     3       1     5\r\n" );
document.write( "        1             1\r\n" );
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document.write( "Now you must place parentheses around the 2x-3, like\r\n" );
document.write( "this (2x-3), and also around the 3x+2, like this (3x+2)\r\n" );
document.write( "and your equation becomes\r\n" );
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document.write( "    5(2x-3) = 3(3x+2)\r\n" );
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document.write( "Can you finish from there?\r\n" );
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document.write( "Answer: x = 21 \r\n" );
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document.write( "Edwin
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