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

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If x * y = xy -2 (x + y)  [#permalink]

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New post 05 Jul 2017, 12:15
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A
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C
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Difficulty:

  5% (low)

Question Stats:

94% (00:41) correct 6% (01:03) wrong based on 78 sessions

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If x * y = xy -2 (x + y)  [#permalink]

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New post 05 Jul 2017, 12:21
carcass wrote:
If x * y = xy -2 (x + y) for all integers x and y, the 2 * -3 =

A) -16

B) -11

C) -4

D) 4

E) 16


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

\(2 * -3 = (2)(-3) - 2(2+(-3))\)

\(-6 -2(2-3)\)

\(-6-2(-1)\)

\(-6 + 2 = -4\)

Answer (C)...
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Re: If x * y = xy -2 (x + y)  [#permalink]

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New post 05 Jul 2017, 12:25
carcass wrote:
If x * y = xy -2 (x + y) for all integers x and y, the 2 * -3 =

A) -16

B) -11

C) -4

D) 4

E) 16



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

\(2 * -3 =\)

\(2(-3) - 2 (2-(-3)\)

\(= -6 - 2(-1)\)

\(= -6 +2\)

\(= - 4\)

Hence, Answer is C
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Re: If x * y = xy -2 (x + y)  [#permalink]

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New post 14 Jul 2017, 10:43
carcass wrote:
If x * y = xy -2 (x + y) for all integers x and y, the 2 * -3 =

A) -16

B) -11

C) -4

D) 4

E) 16


We let x = 2 and y = -3, and then we substitute those values for x and y into the expression xy - 2(x + y):

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)  [#permalink]

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New post 14 Jul 2017, 10:49
If \(x = 2, y = -3: -6 - 2(2-3) = -6 +2 = -4\)

If \(x = -3, y = 2: -6 -2(-3+2) = -6+2 = -4.\)

Ans - C.
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Re: If x * y = xy -2 (x + y)   [#permalink] 14 Jul 2017, 10:49
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