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If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =

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DeeptiM
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If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) = [#permalink] If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =   18 Aug 2011, 11:47
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If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =

(A) –16
(B) –11
(C) –4
(D) 4
(E) 16
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C
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Re: If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) = [#permalink] If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =   18 Aug 2011, 11:55
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The quickest (rather only) way is to apply the given formula:

2*(-3) = 2*(-3) - 2 (2 + (-3) ) = -6 +2 = -4

Option (C)
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Re: If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) = [#permalink] If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =   18 Aug 2011, 13:22
2*(-3) = -6 -2(2-3) = -6 - 4+6 = -4 Ans.
No other quickest way.
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Re: If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) = [#permalink] If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =   18 Aug 2011, 20:30
as per the expression 2*-3 = -6-(2*(2-3)) =-4

Answer is C.
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Re: If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) = [#permalink] If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =   17 Jul 2020, 07:12
Expert Reply
DeeptiM wrote:
If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =

(A) –16
(B) –11
(C) –4
(D) 4
(E) 16


Solution:

2 * (-3) = 2(-3) - 2(2 + (-3)) = -6 - 2(-1) = -6 + 2 = -4

Answer: C
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Re: If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) = [#permalink] If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =   17 Jul 2020, 08:21
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DeeptiM wrote:
If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =

(A) –16
(B) –11
(C) –4
(D) 4
(E) 16


Asked: If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =

x*y = xy – 2(x + y)
2*(-3) = 2(-3) - 2(2-3) = -6 + 2 = - 4

IMO C
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Re: If x*y = xy 2(x + y) for all integers x and y, then 2* (3) = [#permalink] If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =   18 May 2023, 10:33
To find the value of 2 * (-3) using the given equation, let's substitute x = 2 and y = -3 into the equation:

x * y = xy - 2(x + y)

2 * (-3) = (2)(-3) - 2(2 + (-3))
= -6 - 2(-1)
= -6 + 2
= -4

Therefore, 2 * (-3) equals -4. Hence, the correct option is (C) -4.
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gmatclubot
Re: If x*y = xy 2(x + y) for all integers x and y, then 2* (3) = [#permalink]
18 May 2023, 10:33
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