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(52817) (Show Source):
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.
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
