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# If y = 3x + 2 and y = - 4 – 6x what is the value of y?

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Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3286
Location: India
GPA: 3.12
If y = 3x + 2 and y = - 4 – 6x what is the value of y?  [#permalink]

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02 Nov 2018, 03:59
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25% (medium)

Question Stats:

69% (00:57) correct 31% (00:50) wrong based on 60 sessions

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If y = 3x + 2 and y = - 4 – 6x what is the value of y?

(A) −2/3
(B) 0
(C) 2
(D) 8
(E) 16

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Intern
Joined: 30 Aug 2016
Posts: 1
Re: If y = 3x + 2 and y = - 4 – 6x what is the value of y?  [#permalink]

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02 Nov 2018, 11:51
I think its B. Because if you replace y with 0 then x=-2/3.
Director
Joined: 04 Dec 2015
Posts: 729
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
Re: If y = 3x + 2 and y = - 4 – 6x what is the value of y?  [#permalink]

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02 Nov 2018, 20:59
pushpitkc wrote:
If y = 3x + 2 and y = - 4 – 6x what is the value of y?

(A) −2/3
(B) 0
(C) 2
(D) 8
(E) 16

$$y = 3x + 2$$ ------- ($$i$$)

$$y =$$ $$-$$ $$4$$ $$–$$ $$6x$$ ------ ($$ii$$)

Equating equations ($$i$$) and ($$ii$$) we get;

$$3x + 2 =$$ $$-$$ $$4$$ $$-$$ $$6x$$

$$3x + 6x =$$ $$-$$ $$4$$ $$-$$ $$2 => 9x =$$ $$-$$ $$6$$

$$x = \frac{- 6}{9} = \frac{- 2}{3}$$

Substituting value of $$x$$ in equation ($$i$$) we get;

$$y = 3 (\frac{- 2}{3}) + 2 =$$ $$-$$ $$2 + 2$$

$$y = 0$$

Re: If y = 3x + 2 and y = - 4 – 6x what is the value of y?   [#permalink] 02 Nov 2018, 20:59
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