Question

When x = , what is the value of ? 3 F. 2. G. 2 anai 5 H. 2 J. 5 K 10

Answer 1

The question given to us says we should evaluate the expression below:

`(8x-3)/(x)`

when

`x=(1)/(2)`

To evaluate the expression, we simply substitute the value of x i.e. 1/2, into the expression and then simplify.

This is done below

`\begin{gathered} (8x-3)/(x) \\ \text{put x=}(1)/(2) \\ \\ (8((1)/(2))-3)/((1)/(2)) \\ \end{gathered}`

Now, let us simplify the above expression. Also remember that when we are dividing by a fraction, it is the same as multiplying by the denominator of that fraction.

In this case, we are dividing by 1/2, this is the same as multiplying by 2.

Hence,

`\begin{gathered} (8((1)/(2))-3)/((1)/(2)) \\ \\ =(4-3)/((1)/(2))=1*2 \\ \\ \therefore\text{The answer is: 2} \end{gathered}`

Therefore, the final answer is 2