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What is x ? (1) x^2 + y = 17 (2) y = 2x + 2

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Bunuel
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What is x ? (1) x^2 + y = 17 (2) y = 2x + 2 [#permalink] New post   01 Sep 2021, 03:30
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E

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What is x ?

(1) x^2 + y = 17
(2) y = 2x + 2
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E
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apoorvishnoi
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Re: What is x ? (1) x^2 + y = 17 (2) y = 2x + 2 [#permalink] New post   01 Sep 2021, 04:01
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(1) x^2 + y = 17 – Two variables, NS.
(2) y = 2x + 2 – Two variables, NS.


Combining both statements :

Replacing value of Y in equation 1 from equation 2.

x2 + 2x + 2 = 17
x2 + 2x = 15
x(x+2) = 15
or
x = 15 and x = 13 (x+2 =15, x=13)


OA - "E"
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parasma
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Re: What is x ? (1) x^2 + y = 17 (2) y = 2x + 2 [#permalink] New post   01 Sep 2021, 04:12
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What is x ?

(1) x^2 + y = 17
(2) y = 2x + 2

Statement-1
x^2+y= 17 (2 variables and 1 equation) Not Sufficient

Statement-2
y=2x+2 (2 variables and 1 equation) Not Sufficient

Combine
x^2+2x+2=17
x^2+2x-15=0
x^2+5x-3x-15=0
x=3, x=-5

so 2 values of x. Not Sufficient.
Answer is E.
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BrentGMATPrepNow
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Re: What is x ? (1) x^2 + y = 17 (2) y = 2x + 2 [#permalink] New post   25 Jan 2022, 16:22
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Bunuel wrote:
What is x ?

(1) x^2 + y = 17
(2) y = 2x + 2


Many students will incorrectly answer C, because they believe that, if we have a system of two different equations with two variables, then we can solve that system for the two variables.
The important thing here is that, in order to apply the above rule, the two equations must be LINEAR equations.
In this case, the equation x^2 + y = 1 is not a linear equation. So, the rule doesn't apply.
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gmatclubot
Re: What is x ? (1) x^2 + y = 17 (2) y = 2x + 2 [#permalink]
25 Jan 2022, 16:22
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Bunuel
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