If the values for for which the system of equations and have solutions satisfying the conditions can be written as
, where a and b are positive coprime integers.
then find the value of
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Solve the linear equations to get y = m + 2 1 5 m − 3 0 , x = m + 2 1 5 2 5 m
Now x > 0 , y > 0 , applying wavy curve method we have :
m ϵ ( − ∞ , 2 − 1 5 ) ∪ ( 3 0 , ∞ )
Hence a = 1 5 , b = 2 , c = 3 0
⇒ a + b + c = 4 7