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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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