SOLUTION: x-3 + y+5 = 11/6 ---- ---- 2 3

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Question 70754: x-3 + y+5 = 11/6
---- ----
2 3

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