document.write( "Question 70754: x-3 + y+5 = 11/6
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Algebra.Com's Answer #50514 by bucky(2189)\"\" \"About 
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\"%28x-3%29%2F2+%2B+%28y%2B5%29%2F3+=+11%2F6\"
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\n" ); document.write( "Notice that a common denominator can be 6 because 2, 3, and 6 are all factors of 6.
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\n" ); document.write( "Multiply the first term by \"3%2F3\". Note that this is equivalent of multiplying the
\n" ); document.write( "first term by 1. The 3 in the denominator of this multiplier will multiply the denominator
\n" ); document.write( "2 of the first term to change the denominator to 6. The numerator of 3 multiplies the
\n" ); document.write( "numerator of the first term, (x-3). As a result of this change to the first term, the equation
\n" ); document.write( "becomes:
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\n" ); document.write( "\"3%2A%28x-3%29%2F%283%2A2%29+%2B+%28y%2B5%29%2F3+=+11%2F6\"
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\n" ); document.write( "Next, multiply the second term by \"2%2F2\" to convert the denominator of this term to 6.
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\n" ); document.write( "This change to the second term makes the equation:
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\n" ); document.write( "\"3%2A%28x-3%29%2F%283%2A2%29+%2B+2%2A%28y%2B5%29%2F%282%2A3%29+=+11%2F6\"
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\n" ); document.write( "Note that all the denominators are equal to 6. So you can get rid of all the denominators
\n" ); document.write( "by multiplying all the terms in this equation by 6. The result would be:
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\n" ); document.write( "\"3%2A%28x-3%29%2B2%2A%28y%2B5%29+=+11\"
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\n" ); document.write( "Multiply out all applicable terms and get:
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\n" ); document.write( "\"3x-9%2B2y%2B10+=+11\"
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\n" ); document.write( "Combine the numeric terms (-9 and + 10) on the left side and you get:
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\n" ); document.write( "\"3x+%2B+2y+%2B+1+=+11\"
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\n" ); document.write( "Subtract +1 from both sides to eliminate the +1 on the left side.
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\n" ); document.write( "\"3x+%2B+2y+=+10\"
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\n" ); document.write( "This equation is now in standard form. Note that it contains two variables, x and y.
\n" ); document.write( "Since there is only one equation and it has two variables, it cannot be for a single value
\n" ); document.write( "for x and a corresponding single value for y. All you can do is simplify the equation
\n" ); document.write( "as was done above.
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