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Chapter 1: Q3. (page 39)

3. Evaluate $|x - 3 y|$ if $x = - 8$ and $y = 2$ .

Short Answer

Expert verified

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

Step by step solution

01

- State the definition of a variable.

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

02

- Evaluate the equation.

Here, the equation is:

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

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

$\begin{matrix} |x 鈭� 3 y| = |鈭� 8 鈭� (3 脳 2)| \\ = |鈭� 8 鈭� 6| \\ = |鈭� 14| \\ = 14 \end{matrix}$

03

- State the conclusion.

Therefore, the value of $|x 鈭� 3 y|$ is $14$

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