Question

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

Answer 1

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`

Answer 2

`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`