kunal1608
Bunuel
kunal1608
Bunuel,
For reducing by 2x+1, shouldnt we be sure that x is not equal to -1/2.
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Bunuel,
If 2x + 1 were 0, then the whole faction (\(\frac{4xy+2y}{6x+3}\)) would be undefined and could not equal to y - 3.
So if a variable is present in the denominator, we can be sure that it’s not equal to zero. But if a variable is in the numerator in the LHS or RHS in cross multiplication, we have to ensure that it’s not equal to zero.
I know this all is very basic but please clarify.
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GMAT Club Forum mobile appIf it's given that xy/y = 1, we can says that y ≠ 0, and thus can reduce to get x = 1.
If the question asks: does xy/y = 1? This can be translated as does x = 1 AND y ≠ 0. For example:
Does xy/y = 1 ?Here we cannot simply reduce and translate this as "does x = 1?"
Say (1) says: x = 1. Here this would not be sufficient because if y =0, the xy/y would be undefined, and not equal to 1.
Hope it's clear.