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Moderator  Joined: 18 Apr 2015
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Which one of the following is the solution of the system of [#permalink]
Expert's post 00:00

Question Stats: 99% (00:15) correct 0% (00:00) wrong based on 7 sessions
Which one of the following is the solution of the system of equations given?

x + 2y = 7
x + y = 4

(A) x = 3, y = 2
(B) x = 2, y = 3
(C) x = 1, y = 3
(D) x = 3, y = 1
(E) x = 7, y = 1
[Reveal] Spoiler: OA

_________________ Director  Joined: 07 Jan 2018
Posts: 604
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Kudos [?]: 546  , given: 88

Re: Which one of the following is the solution of the system of [#permalink]
1
KUDOS
Subtract the 2nd equation from the 1st eqn
we get the value of $$y$$ as $$x$$ reduces to $$0$$ so $$y = 3$$
Among ans choices only $$B$$ and $$C$$ has $$y =3$$so the correct ans must be one of those two
Now replace the value of $$y = 3$$ in any one of the original eqn. Doing this will make $$x = 1$$
Therefore x=1 and y =3
option c
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes Manager  Joined: 06 Jun 2018
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Re: Which one of the following is the solution of the system of [#permalink]
1
KUDOS
Carcass wrote:
Which one of the following is the solution of the system of equations given?

x + 2y = 7
x + y = 4

(A) x = 3, y = 2
(B) x = 2, y = 3
(C) x = 1, y = 3
(D) x = 3, y = 1
(E) x = 7, y = 1

Given

x + 2y = 7........................1

x + y = 4.........................2

Deduct 2 from 1 :

y = 3.

Now put the value of y into the 1.

x = 1.

The answer is C. Re: Which one of the following is the solution of the system of   [#permalink] 17 Jul 2018, 14:17
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