The solution set for the variables X, Y in the signal flow

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The solution set for the variables X, Y in the signal flow graph shown in the figure below is—

1. X = Y = 0
2. X = 1/2, Y = 2
3. X = 2, Y = 1/2
4. X = Y = 1/2

Correct Option: A

From figure
x = – 2x gives x = 0
y = x – y ⇒ 2y = x
y = x/2 = 0/2 = 0