Are these two equations equivalent? Thanks. (nx)/d xx x = (xn)/d xx y

2 Answers
Sep 6, 2017

See explanation.

Explanation:

First thing. There is only one equation there.

To see if the expressions are equivalent let's look at both of them.

First part is:

(nx)/d and # (xn)/d#

Those expressions are equivalent because the result of multiplication does not depend on the order of multiplied values.

But on the left side the expression is multiplied by x, while on the right side it's multiplied by y, so they would be equivalent if and only if x=y

Sep 6, 2017

x=y :n/d !=0

Explanation:

(nx)/d xx x = (xn)/d xx y

First, this is one equation not two.

Since nx = xn and assuming n/d != 0

cancel((nx)/d) xx x = cancel((xn)/d) xx y

:. x=y