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For reducing by 2x+1, shouldnt we be sure that x is not equal to -1/2.

Sent from my iPhone using GMAT Club Forum

If 2x + 1 were 0, then the whole faction (\(\frac{4xy+2y}{6x+3}\)) would be undefined and could not equal to y - 3.

@Bunuel,

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.

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.

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.

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