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

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Joined: 01 Sep 2010
Posts: 3356
If x * y = xy -2 (x + y)  [#permalink]

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05 Jul 2017, 12:15
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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) for all integers x and y, the 2 * -3 =

A) -16

B) -11

C) -4

D) 4

E) 16

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

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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

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

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

$$-6 -2(2-3)$$

$$-6-2(-1)$$

$$-6 + 2 = -4$$

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

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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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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

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

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

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