In the xy plane region R consist of all points (x,y) such

Question

In the xy plane region R consist of all points (x,y) such that 2x+3y=6. Is the point (r,s) in region R?

1) 3r+2s=6
2) r=3 s=2

ps_dahiya · Answer

Is it B???

Will explain if correct.

apollo168 · Answer

Hi PS_Dahiya,

My answer was B as well it turned out to be E. Don't know why though. It only gave an OA not an OE. Got the question from a paper base gmat exam

apollo168 · Answer

But as always I would love to hear your explanation. I arrived at B by simply plugging in the values to the equation. I have a feeling that that isnt the correct way to go about it

kevincan · Answer

The two statements contradict each other. If r=3 and s=2, how can 3r+2s=6?

jjhko · Answer

Is the answer E b/c the question is assuming that there are two different planes to consider here? i.e. plane-xy vs. plane-rs?

Seems like a trick question.

defenestrate · Answer

It does seem like a trick question, but what other information do we need beside the value of r and s? We are to assume that all lines exist on the same plane unless otherwise stated...

Futuristic · Answer

I get B:

For a line to belong in region RS, the points x,y must lie on the line 2x+3y=6
This means that the y-value must satisfy
y=-2x/3+2...(1)

1: 3r + 2s = 6. r, s = {r, -3r/2+3}

For (1) to hold, 
-3r/2+3 = -2r/3+2
Or 
r=2....we don't know this hence INSUFF

From (2)

We can plug in r for x and s for y and see that either this holds or it does not, so this is ennough to answer hence SUFF

In the xy plane region R consist of all points (x,y) such

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