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06 Feb 2019, 03:43
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
71% (01:56) correct
29%
(02:35)
wrong
based on 112
sessions
History
Date
Time
Result
Not Attempted Yet
If x + 2y = 2 and (x + y)^2 = 9, which of the following is a possible value of y ?
A. -8
B. -5
C. -3/2
D. 3/2
E. 5
A. -8
B. -5
C. -3/2
D. 3/2
E. 5
06 Feb 2019, 03:49
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Bunuel
nice question.
x + 2y = 2
(x + y)^2 = 9
x + y = 3 or -3.
...........
x + 2y = 2
x + y = -3
..................................deduct second from the first.
y = 5.
E is the correct answer.
**** anyone can form equation considering x + y =3. but we are looking for possible value . need to consider both aspects.
KanishkM
Joined: 09 Mar 2018
Last visit: 18 Dec 2021
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Location: India
Schools: DeGroote'21 Desautels '21 NUS '21
06 Feb 2019, 22:53
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Bunuel
Out of the 3 ways which i thought of solving this question, inline is the easiest
(x + y)^2 = 9, can be written as x+ y = 3 or x+y =-3
(a)
x+2y = 2
x+y = 3
(b)
x+2y = 2
x+y =-3
b when solved gives us answer as E.
