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# What is the value of y-x^2-x?

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Manager
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What is the value of y-x^2-x? [#permalink]  06 Jan 2013, 07:09
00:00

Difficulty:

55% (hard)

Question Stats:

59% (02:18) correct 41% (01:13) wrong based on 151 sessions
What is the value of y-x^2-x?

(1) y = -3x
(2) y = -4(x + 1)
[Reveal] Spoiler: OA

_________________

Don't give up on yourself ever. Period.
Beat it, no one wants to be defeated (My journey from 570 to 690) : beat-it-no-one-wants-to-be-defeated-journey-570-to-149968.html

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Kudos [?]: 18 [2] , given: 16

Re: What is the value of y-x^2-x? [#permalink]  06 Jan 2013, 07:55
2
KUDOS
We need to find whether info is sufficient to find value of y-x2-x.

We cant simplify the question stem further, so lets start with st1:
(1) y = -3x --> two vars 1 eq--> cant solve
(2) y = -4(x + 1) --> two vars 1 eq--> cant solve

1+2 together is solvable.
y=-3x and also y=-4x-4

so -3x=-4x-4
x=-4, y=12
we dont actually need to solve but for illustration i did. Knowing that we can solve them to get unique values of x and y is enough.

So 1 and 2 taken together are sufficient

Best Regards,
Mansoor

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Re: What is the value of y-x^2-x? [#permalink]  18 Jul 2013, 13:17
Can someone please give a more in depth explanation to this. I would also appreciate if the question was $$using markup$$ because the expression in the question above is rather ambiguous.
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Re: What is the value of y-x^2-x? [#permalink]  18 Jul 2013, 13:24
Expert's post
aeglorre wrote:
Can someone please give a more in depth explanation to this. I would also appreciate if the question was $$using markup$$ because the expression in the question above is rather ambiguous.

What is the value of $$y-x^2-x$$?

(1) y = -3x --> the question becomes: what is the value of $$-3x-x^2-x$$. We need the value of x to answer this question. Not sufficient.

(2) y = -4(x + 1) --> the question becomes: what is the value of $$-4(x + 1)-x^2-x$$. We need the value of x to answer this question. Not sufficient.

(1)+(2) We have two distinct linear equations: $$y = -3x$$ and $$y = -4(x + 1)$$, thus we can solve for both variables and get the value of $$y-x^2-x$$. Sufficient.

Hope it's clear.
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Re: What is the value of y-x^2-x? [#permalink]  18 Jul 2013, 21:12
Awesome, thanks a lot Bunuel. You are, as they say, "The Man".

Posted from my mobile device
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Re: What is the value of y-x^2-x? [#permalink]  24 Oct 2013, 12:24
The explanation about linear equation is not clear
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Re: What is the value of y-x^2-x? [#permalink]  25 Oct 2013, 01:04
Expert's post
Raihanuddin wrote:
The explanation about linear equation is not clear

If you have n distinct linear equations and n variables then you can solve for them. "Distinct linear equations" means that no equation can be derived with the help of others or by arithmetic operation (by multiplication, addition, ...).

We have two distinct linear equations: $$y = -3x$$ and $$y = -4(x + 1)$$. Solving gives: x=-4 and y=12.

Hope it's clear.
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Re: What is the value of y-x^2-x?   [#permalink] 25 Oct 2013, 01:04
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