Question 334297
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.