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# Which of the following equations has only one integer pair as solution

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Which of the following equations has only one integer pair as solution  [#permalink]

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Updated on: 06 Jul 2017, 08:01
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44% (01:16) correct 56% (01:12) wrong based on 202 sessions

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Which of the following equations has only one integer pair as solution?

A) y = 2x

B) y = x/2

C) $$y =\sqrt{5}*x$$

D) y=x+1

E) y=1/x

Originally posted by roastedchips on 06 Jul 2017, 06:26.
Last edited by Bunuel on 06 Jul 2017, 08:01, edited 1 time in total.
Formatted the question.
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Re: Which of the following equations has only one integer pair as solution  [#permalink]

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06 Jul 2017, 06:54
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Is C the answer as only one integer solution possible (0,0) rest all has more than one if you consider negative counter part

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Re: Which of the following equations has only one integer pair as solution  [#permalink]

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14 Jul 2017, 03:33
roastedchips wrote:
Which of the following equations has only one integer pair as solution?

A) y = 2x

B) y = x/2

C) $$y =\sqrt{5}*x$$

D) y=x+1

E) y=1/x

What are the solutions for E? other than (1,1)?
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Re: Which of the following equations has only one integer pair as solution  [#permalink]

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14 Jul 2017, 04:41
(-1,-1) as Negative counterparts

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Re: Which of the following equations has only one integer pair as solution  [#permalink]

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14 Jul 2017, 19:20
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vivsleo wrote:
(-1,-1) as Negative counterparts

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Re: Which of the following equations has only one integer pair as solution  [#permalink]

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02 Sep 2017, 07:29
A) y = 2x, x=1y=2, x=2y=4
B) y = x/2 x2y1 x4y2
C) y=√5∗x x0y0
D) y=x+1 x0y1 x1y2 x3y4
E) y=1/x x1y1 and x(-1) y(-1)

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Re: Which of the following equations has only one integer pair as solution  [#permalink]

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02 Sep 2017, 22:44

We can have multiple integer solutions for every equation except C
y=√5∗x in order to have integer solution we have to have x=√5
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Re: Which of the following equations has only one integer pair as solution  [#permalink]

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02 Sep 2017, 22:55
arvind910619 wrote:

We can have multiple integer solutions for every equation except C
y=√5∗x in order to have integer solution we have to have x=√5

very sorry for your solution x =√5
which you stated above

x=0 and y= 0 is the only integer solution possible as √5 is not an integer.

Hope u can understand.
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Re: Which of the following equations has only one integer pair as solution  [#permalink]

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23 Apr 2018, 08:41
1
roastedchips wrote:
Which of the following equations has only one integer pair as solution?

A) y = 2x

B) y = x/2

C) $$y =\sqrt{5}*x$$

D) y=x+1

E) y=1/x

A) x=0,y=0 ; x = 1,y=2 ........
B) x=0,y=0 ; x=1, y=1/2 ..........
C) x = 0, y = 0 .. There is no other integral value of x which will produce integral value of y.
D) x=0,y=1 ; x=1,y=2
E) x=1,y=1 ; x=-1,y=-1

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Re: Which of the following equations has only one integer pair as solution  [#permalink]

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17 Apr 2020, 09:42
roastedchips wrote:
Which of the following equations has only one integer pair as solution?

A) y = 2x

B) y = x/2

C) $$y =\sqrt{5}*x$$

D) y=x+1

E) y=1/x

We see that choices A, B and D will have infinitely many integer pair solutions. Choice E has two, namely (1, 1) and (-1, -1). However, choice C only has one, namely, (0, 0).

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Re: Which of the following equations has only one integer pair as solution   [#permalink] 17 Apr 2020, 09:42