Question 131

If $$\ (x/y)^{5a-3}\ $$ =$$\ (y/x)^{17-3a}$$, then what is the value of a?

Solution

Given : $$\ (x/y)^{5a-3}\ $$ =$$\ (y/x)^{17-3a}$$

=> $$\ (x/y)^{5a-3}\ =\ (x/y)^{3a-17}$$

=> $$5a-3=3a-17$$

=> $$5a-3a=-17+3$$

=> $$2a=-14$$

=> $$a=\frac{-14}{2}=-7$$

=> Ans - (A)

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