Evaluate the expression when x = -2: (6-2x)/(4x)

Question

Evaluate the expression when x = -2:
`(6-2x)/(4x)`

Answer 1

-5/4

Explanation:

Our task is to evaluate the expression when x = -2:

`\sf{\cfrac{6-2x}{4x}}`

Replace x with -2 and evaluate.

`\sf{\cfrac{6-2(-2)}{4(-2)}}`

`\sf{\cfrac{6+4}{-8}}`

`\sf{\cfrac{10}{-8}}`

`\sf{-\cfrac{10}{8}}`

`\sf{-\cfrac{5}{4}}`

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Answer 2

Answer:
`-(5)/(4)`

Explanation:

Since we are given X = -2 the answer will be given to us through a matter of plugging in and simplifying.

1. Apply X = -2 for the numerator
   `(6-2(-2))/(4x)`
2. After the solving the top we should receive an answer like this:
   `(10)/(4x)`
3. Next, let us do what we did for the top for the denominator, we should receive an equation like this:
   `(10)/(4(-2))`
4. We would later receive
   `(10)/(-8)`
5. Lastly, if applicable we would simplify the final answer to:
   `-(5)/(4)`