Question 334297: Determine if the following statement is always true. If it is not, provide a counterexample. If the mathematical operation* is defined for all numbers x and y as 2x+3y, then the operation * is commutative. Answer by tinbar(128) (Show Source):
You can put this solution on YOUR website! x*y=2x+3y
clearly x*y does NOT satisfy y*x, therefore it is no commutative
let x=4, y=5
since x*y does not equal y*x, this counterexample shows this operation definition is not commutative.