Question

3. Evaluate $\left|\text{x}-3\text{y}\right|$if $\text{x}=-8$ and $\text{y}=2$.

Short answer

the value of $\left|x-3y\right|$ is $14$.

Step-by-step solution

- State the definition of a variable.

A variable is a term that is used to represent an unknown value.

- Evaluate the equation.

Here, the equation is:

$\left|x-3y\right|$and $y=2$, $x=-8$. It is also known that for any real number $a$, $\left|a\right|=a$

Now, to evaluate this equation replace $x$ with $-8$ and $y$ with $2$,

$\begin{array}{c}\left|x-3y\right|=\left|-8-\left(3\times 2\right)\right|\\ =\left|-8-6\right|\\ =\left|-14\right|\\ =14\end{array}$

- State the conclusion.

Therefore, the value of $\left|x-3y\right|$ is$14$