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If x+2/Y-3 = 0 then, which of the following are true?

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Mea91
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If x+2/Y-3 = 0 then, which of the following are true? [#permalink] New post   Updated on: 03 Nov 2021, 07:09
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If x+2/Y-3 = 0 then, which of the following are true?

A) x = 2 and y = 3
B) x = 2 and y =/= 3
C) x = 0 and y = 0
D) x = -2 and y = 3
E) x = -2 and y =/= 3


The official answer is E; X = -2 and Y =/=3

But I do not understand why it cannot be D as well: X = -2 and Y = 3

(-2) + 2 / (3) -3 = 0 ; why is this not valid?

(I am sorry, I do not have enough of a reputation to paste an image of the question, which would make reading this question so much easier)
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D

Originally posted by Mea91 on 02 Nov 2021, 15:56.
Last edited by Mea91 on 03 Nov 2021, 07:09, edited 1 time in total.
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Re: If x+2/Y-3 = 0 then, which of the following are true? [#permalink] New post   02 Nov 2021, 19:43
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Hey Mea91

Please provide all the options and do visit these posts to know how the questions are posted:

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If x+2/Y-3 = 0 then, which of the following are true? [#permalink] New post   03 Nov 2021, 09:52
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You can't have y = 3 as that would imply a division by 0, which is undefined. In more rigorous terms, the LHS exists if (but not only if) y is different from 3, so any root of that equation is a solution only if y =/= 3.
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Re: If x+2/Y-3 = 0 then, which of the following are true? [#permalink] New post   03 Nov 2021, 09:59
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Mea91 wrote:
If x+2/Y-3 = 0 then, which of the following are true?

A) x = 2 and y = 3
B) x = 2 and y =/= 3
C) x = 0 and y = 0
D) x = -2 and y = 3
E) x = -2 and y =/= 3


The official answer is E; X = -2 and Y =/=3

But I do not understand why it cannot be D as well: X = -2 and Y = 3

(-2) + 2 / (3) -3 = 0 ; why is this not valid?

(I am sorry, I do not have enough of a reputation to paste an image of the question, which would make reading this question so much easier)



At the moment, the equation x+2/y-3 = 0 can be interpreted in many different ways.
For example: (x+2)/y - 3 = 0
or x + (2/y) - 3 = 0
or (x + 2)/(y - 3) = 0
or x + 2/(y - 3) = 0
etc

You can avoid a lot of ambiguity by adding some spaces and/or parentheses.
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Re: If x+2/Y-3 = 0 then, which of the following are true? [#permalink]
03 Nov 2021, 09:59
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