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:

$\frac{8x-3}{x}$

when

$x=\frac{1}{2}$

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

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

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,

$\begin{gathered} \frac{8(\frac{1}{2})-3}{\frac{1}{2}} \\ \\ =\frac{4-3}{\frac{1}{2}}=1\times2 \\ \\ \therefore\text{The answer is: 2} \end{gathered}$

Therefore, the final answer is 2