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

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

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New post 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.

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

\(2P + 4P = 12\)
\(6P = 12\)
\(P = 2\)

ANSWER C
GMAT Club Bot
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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