Question

Which value is equivalent to x+4/4+x?

A. -4
B. -1
C. 1
D. 4

Answer 1

Hello :

(x+4)/(4+x) = (x+4)/(x+4) = 1 ( answer : C ) but x+4 no : 0

Answer 2

C. 1

Explanation:

Commutative property says that changing the order of the operands does not change the result. This can be expressed as:

`a+b=b+a`

Using the previous information, we can say:

`x+4=4+x`

And rewrite the equation as:

`(x+4)/(x+4)`

Since the numerator and denominator are the same:

`(x+4)/(x+4)=1\\\forall x\\eq-4`