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# If mx + qy − nx − py = 0, p − q = 2, and y/x = -1/3, then which of the

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
If mx + qy − nx − py = 0, p − q = 2, and y/x = -1/3, then which of the  [#permalink]

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05 Feb 2019, 01:22
00:00

Difficulty:

55% (hard)

Question Stats:

42% (02:52) correct 58% (02:05) wrong based on 12 sessions

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If $$mx + qy − nx − py = 0$$, $$p − q = 2$$, and $$\frac{y}{x} = -\frac{1}{3}$$, then which of the following is true?

A. n – m = 2/3

B. n – m = -2/3

C. m + n = 2/3

D. m + n = 3/2

E. m + n = -3/2

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Joined: 18 Jul 2018
Posts: 680
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: If mx + qy − nx − py = 0, p − q = 2, and y/x = -1/3, then which of the  [#permalink]

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05 Feb 2019, 01:58
Re-arranging the terms gives, x(m-n)-y(p-q) = 0
Given p-q = 2
x(m-n) = 2y
y/x = m-n/2
-1/3 = m-n/2
m-n = -2/3
or n-m = 2/3

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Re: If mx + qy − nx − py = 0, p − q = 2, and y/x = -1/3, then which of the  [#permalink]

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05 Feb 2019, 02:12
Bunuel wrote:
If $$mx + qy − nx − py = 0$$, $$p − q = 2$$, and $$y/x = -\frac{1}{3}$$, then which of the following is true?

A. n – m = 2/3

B. n – m = -2/3

C. m + n = 2/3

D. m + n = 3/2

E. m + n = -3/2

mx -nx -py +qy = 0

x(m-n) - y(p-q) = 0
x(m-n) = 2y
y/x = (m-n)/2

y/x = -1/3
m-n = -2/3
n-m = 2/3

A
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Re: If mx + qy − nx − py = 0, p − q = 2, and y/x = -1/3, then which of the   [#permalink] 05 Feb 2019, 02:12
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