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Which one of the following is the solution of the system of

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Which one of the following is the solution of the system of [#permalink] New post 18 Apr 2018, 11:59
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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

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Re: Which one of the following is the solution of the system of [#permalink] New post 18 Apr 2018, 21:18
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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
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Re: Which one of the following is the solution of the system of [#permalink] New post 17 Jul 2018, 14:17
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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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Which one of the following is the solution of the system of

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