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by JeetGulia » Sun Sep 12, 2010 5:35 am
In the xy-plane, does the line with equation Y=3X+2, contain the point (r,s)?

a) (3r+2-s)(4r+9-s)=0
b) (4r-6-s)(3r+2-s)=0

And C...why not D?
Last edited by JeetGulia on Sun Sep 12, 2010 6:56 am, edited 1 time in total.
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Source: — Data Sufficiency |
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by kvcpk » Sun Sep 12, 2010 6:36 am
once again incomplete question.
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by Jim@Grockit » Sun Sep 12, 2010 7:55 pm
JeetGulia wrote:In the xy-plane, does the line with equation Y=3X+2, contain the point (r,s)?

a) (3r+2-s)(4r+9-s)=0
b) (4r-6-s)(3r+2-s)=0

And C...why not D?
If (3r+2-s) = 0, then you know that s = 3r + 2, exactly the equation we're looking for. One statement on its own is not enough to confirm that the (3r+2-s) part of the equation is the part equal to zero; either expression could = 0. Look at it another way:

If a and c are not equal, does b = 0?
1) bc = 0
2) ab= 0

Each statement on its own is not enough to single out b = 0, but together they are sufficient. In this alternate example, b = (3r + 2 -s).

Make sense?
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