SOLUTION: given that x*y=2x-y, where x and y are real number, find the value of y if y*(3*y)=6

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Question 1091382: given that x*y=2x-y, where x and y are real number, find the value of y if y*(3*y)=6
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52832)   (Show Source): You can put this solution on YOUR website!
.
According to the definition of the operator *, you have

    1)  3*y = 6-y.

    2)  y*(3*y) = y*(6-y) = 2y - (6-y) = 3y - 6.


So, your equation is  3y - 6 = 6,   and the solution is 3y = 6+6 = 12  ===>  y =  = 4.

Answer. y = 4.


Solved.



Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!

Do you understand that in this problem they are defining "*" to be like a function that operates on input values x and y? "x*y = 2x-y" means the output of the function "*" is 2 times the first input, minus the second input. Then
"3*y" is
and then "y*(6-y)" is
and so



So y = 4 is the answer.

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