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# What is the value of y – x^2 – x? (1) y = –3x (2) y = –4(x + 1)

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Director
Joined: 26 Oct 2016
Posts: 642
Location: United States
Schools: HBS '19
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WE: Education (Education)
What is the value of y – x^2 – x? (1) y = –3x (2) y = –4(x + 1)  [#permalink]

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14 Mar 2017, 17:52
00:00

Difficulty:

35% (medium)

Question Stats:

64% (01:36) correct 36% (01:30) wrong based on 78 sessions

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What is the value of y – x^2 – x?

(1) y = –3x

(2) y = –4(x + 1)

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Anaira Mitch

Intern
Joined: 23 Jun 2015
Posts: 7
Re: What is the value of y – x^2 – x? (1) y = –3x (2) y = –4(x + 1)  [#permalink]

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14 Mar 2017, 18:48
1
Applying 1 to the equation, we get -4x -x^2.
Applying 2 to the equation, we get -5x -x^2 -4.

Since we only substituted for y, both these values must be same. Hence we can form the equation
-4x -x^2 = -5x -x^2 -4
Solving for x,
X = -4
Applying this value for x, we can derive the required value.

So both options 1 and 2 are necessary

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Re: What is the value of y – x^2 – x? (1) y = –3x (2) y = –4(x + 1)  [#permalink]

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15 Mar 2017, 02:14
to find the value of the expression we need
1# exact value of x,y
2# two equations in x and y
3# the value of complete expression y-x^2 - x

St 1: y = -3x. one equation, two variable. INSUFFICIENT
St 2: y = -4x-4. one equation, two variable. INSUFFICIENT

St 1 & St 2: two equation, two variable. SUFFICIENT

Option C
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Re: What is the value of y – x^2 – x? (1) y = –3x (2) y = –4(x + 1) &nbs [#permalink] 15 Mar 2017, 02:14
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