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# If (2P/3,-P) are the x and y coordinates of a point on the graph of th

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Senior Manager
Joined: 26 Dec 2015
Posts: 258
Location: United States (CA)
Concentration: Finance, Strategy
WE: Investment Banking (Venture Capital)
If (2P/3,-P) are the x and y coordinates of a point on the graph of th  [#permalink]

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05 Dec 2017, 13:13
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Difficulty:

25% (medium)

Question Stats:

72% (00:57) correct 28% (02:03) wrong based on 32 sessions

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If ($$\frac{2P}{3}$$,-P) are the x and y coordinates of a point on the graph of the line 3x - 4y = 12, then P =

A) -12

B) -6

C) 2

D) 6

E) 12
Senior SC Moderator
Joined: 22 May 2016
Posts: 2090
If (2P/3,-P) are the x and y coordinates of a point on the graph of th  [#permalink]

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05 Dec 2017, 13:55
LakerFan24 wrote:
If ($$\frac{2P}{3}$$,-P) are the x and y coordinates of a point on the graph of the line 3x - 4y = 12, then P =

A) -12

B) -6

C) 2

D) 6

E) 12

Just plug the coordinates (x = $$\frac{2}{3}P)$$ and $$(y = -P)$$ into the equation for the line, $$3x - 4y = 12$$. As points on the line, they will satisfy the equation.

$$3(\frac{2}{3}P) - 4(-P) = 12$$

$$2P + 4P = 12$$
$$6P = 12$$
$$P = 2$$

If (2P/3,-P) are the x and y coordinates of a point on the graph of th &nbs [#permalink] 05 Dec 2017, 13:55
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# If (2P/3,-P) are the x and y coordinates of a point on the graph of th

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