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17 Nov 2018, 10:38
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E
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Difficulty:
5%
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Question Stats:
80% (00:50) correct
20%
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wrong
based on 597
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The \((x, y)\) pair \((-1, 1)\) satisfies which of the following equations?
I. \(2x^3 - y^2 = -3\)
II. \(2x^2 - y^3 = 1\)
III. \(x^2 - 2y^3 = -1\)
(A) I only
(B) I and II only
(C) I and III only
(D) II and III only
(E) I, II, and III
I. \(2x^3 - y^2 = -3\)
II. \(2x^2 - y^3 = 1\)
III. \(x^2 - 2y^3 = -1\)
(A) I only
(B) I and II only
(C) I and III only
(D) II and III only
(E) I, II, and III
17 Nov 2018, 11:03
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HKD1710
Putting x = -1 and y = 1 in all equations
I. \(2x^3 - y^2 = -3\)
=> -2 - 1 = -3
=> -3 = -3
Satisfy
II. \(2x^2 - y^3 = 1\)
=> 2 - 1 = 1
=> 1 = 1
Satisfy
III. \(x^2 - 2y^3 = -1\)
=> 1 - 2 = -1
=> -1 = -1
Satisfy
All equations are satisfied
Answer choice (E)
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17 Nov 2018, 11:21
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\((-1, 1)\)
I. \(2 (1-)^3 - 1^2 = -3\) ---> -2-1 = -3 YES
II. \(2x^2 - y^3 = 1\) ----> 2(1)- 1 =1 YES
III. \(x^2 - 2y^3 = -1\) ----> 1 -2 (1) = -1 YES
E
I. \(2 (1-)^3 - 1^2 = -3\) ---> -2-1 = -3 YES
II. \(2x^2 - y^3 = 1\) ----> 2(1)- 1 =1 YES
III. \(x^2 - 2y^3 = -1\) ----> 1 -2 (1) = -1 YES
E
