Answer:
The value of y = 4
Step-by-step explanation:
Explanation:-
Given the operation *is defined by
x*y=2 x-y,where x and y are real numbers
Given y * ( 3 * y ) = 6
⇒ y * ( 2 (3) -y) = 6 (∵ x*y=2 x-y)
⇒ y * ( 6 - y) = 6
⇒ 2 (y) - (6 - y ) = 6
⇒ 2 y - 6 + y = 6
⇒ 3 y = 6 + 6
⇒ 3 y = 12
⇒ y = 4
Verification:-
Put y =4 in given operation
L.H.S
y * ( 3 * y ) = 4 * ( 3 * 4)
= 4 * (2(3)-4) (∵ x*y=2 x-y )
= 4 * ( 6-4)
= 4 * 2
= 2(4) -2 (∵ x*y=2 x-y )
= 6
=R.H.S
y *(3*y) = 6
∴ y = 4 is satisfied
