Equation of the line: y = 3x + 2
Question asks if (r,s) passes through the line ie if s = 3r + 2 or 3r+2-s = 0?
St 1. (3r+2-s)(4r+9-s)=0
ab = o means either a = or b = 0.
Hence either (3r+2-s)=0 or (4r+9-s)=0...INSUFF
St2. (4r-6-s)(3r+2-s)=0
Same as St 2, either (3r+2-s)=0 or (4r-6-s)=0...INSUFF
Combining 1+2
We know (3r+2-s)=0...SUFF
Answer is C
r,s
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Source: Beat The GMAT — Data Sufficiency |
Sorry, I can't follow, how come?
You state that in order that ab = 0 either a = 0 or b = 0
Suppose in statement I (4r+9-s)=0 and in statement II (4r-6-s)=0, would that not leave open the possibility for (3r+2-s) to be UNEQUAL 0 while still satisfying both conditions? Would this not suggest E as an answer?
Thanks for explaining..
You state that in order that ab = 0 either a = 0 or b = 0
Suppose in statement I (4r+9-s)=0 and in statement II (4r-6-s)=0, would that not leave open the possibility for (3r+2-s) to be UNEQUAL 0 while still satisfying both conditions? Would this not suggest E as an answer?
Thanks for explaining..
