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Question


ax + 2y = 30 and 3x + by = 15 are two equations in variables x and y. For what condition you cannot find the solution of these simultaneous equations.


Options:
A .   ab 6
B .   a2+b2+20=9a+3b. 
C .   ab = 6 
D .   a2+b2+20=3a+9b
E .   5222
Answer: Option C
:
C

ax + 2y = 30.................................(1)
3x + by = 15.................................(2)


Multiplying equation (2) by 2


6x +2by = 30........................(3)


Equating eqn (1) and (3)


ax +2y = 6x +2by
We cannot find the solution when a=6 and b=1, answer is option (c)



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