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same reasoning as above for D . Two eqns, two unknowns, so each statement on its own should be sufficient ... dont have to bother to solve

please note that I also did not solve to the end. But we do need to solve it till the point I solved. Because it might happen that we end up in a quadratic equation in X, which might give you 2 value in which case A alone or B alone may not be sufficient and we may have to go for combined value.

same reasoning as above for D . Two eqns, two unknowns, so each statement on its own should be sufficient ... dont have to bother to solve

please note that I also did not solve to the end. But we do need to solve it till the point I solved. Because it might happen that we end up in a quadratic equation in X, which might give you 2 value in which case A alone or B alone may not be sufficient and we may have to go for combined value.

well said. abhijit.

In exam, if I have time, I will make sure I solve to the end.

2 equations 2 variable (1 equation from question and one from statement).

From 1 the equation 4/y^2 = 36+x^2/9-4x From 2 the equation 4/y^2 = 4+X^2/9+4x/3

in exam if I have no time to solve to the end, what are signals to recognize the suff anwer. As you mentioned above, 2 equations 2 variable, but one is a line, one is a quadratic equation, so they can cut each other at 2 points so we have 2 value, or 1 point or no point. So it it hard to pick the answer if we don't solve to the end.

(1) x/3 + 2/y = 6 -----(equation B) substitute (1) above value into equation (A) (x/3+2/y)(x/3 - 2/y)=12 --> 6 (x/3 - 2/y)=12 --> x/3 - 2/y =2 --- (equation C) we have two equations.. two unknowns... must be sufficient (2) x/3 – 2/y = 2 -- (C) (x/3+2/y)2=12 --> 2 (x/3 - 2/y)=6 we have two equations.. two unknowns... must be sufficient

Did you observe that State1 * State 2 = Question..---> then we can say that Answer D...(when State1 & State2 are not quartic/cubic.. higher power.. have only two unknown variables.) No calculations..required..
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