Define the operation "⊙" by x⊙y = 4x - 3y + xy, for all real numbers x and y. For how many real numbers does 3⊙y=12?
To find the value of y, we plug in the given equation 3⊙y = 12 into the expression for the operation:
4(3) - 3y + 3y = 12
12 - 3y + 3y = 12
12 = 12
Since the equation 12 = 12 is true for all real numbers, this means that there are infinitely many real numbers y for which 3⊙y = 12.