It is given that x^2 - y^2 = 55 and x - y = 11.

x^2 - y^2 = (x - y)(x + y)

=> 55 = 11*(x + y)

=> x + y = 5 ...(1)

x - y = 11 ...(2)

(1) - (2)

=> x + y - x + y = 5 - 11

=> 2y = -6

=> y = -3

**The value of y = -3**

It is given that x^2 - y^2 = 55 and x - y = 11.

x^2 - y^2 = (x - y)(x + y)

=> 55 = 11*(x + y)

=> x + y = 5 ...(1)

x - y = 11 ...(2)

(1) - (2)

=> x + y - x + y = 5 - 11

=> 2y = -6

=> y = -3

**The value of y = -3**