Question
The solution of 3(2u + v) = 7 uv and 3(u + 3v) = 11 uv is ____
A. u = 1, v = 3/2
B. u = 1, v = 0
C. u = 0, v = 1
D. u = 0, v = 3/4
Answer: A
Solution:
Using the Trial and error method,
From the options u = 1, v = 3/2 satisfies both the equations.
=> 3(2u + v) = 7 uv
=> 3(2*1 + 3/2) = 7*1*3/2
=> 21/2 = 21/2
and
=> 3(u + 3v) = 11 uv
=> 3(1+3*3/2) = 11* 1 * 3/2
=> 33/2 = 33/2
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