# SOLUTION: 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

Algebra ->  Algebra  -> Distributive-associative-commutative-properties -> SOLUTION: 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       Log On

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 Algebra: Distributive, associative, commutative properties, FOIL Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Distributive-associative-commutative-properties 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 y*x=2y+3x clearly x*y does NOT satisfy y*x, therefore it is no commutative let x=4, y=5 then x*y=2(4)+3(5)=8+15=23 y*x=2(5)+3(4)=10+12=22 since x*y does not equal y*x, this counterexample shows this operation definition is not commutative.