Question

Evaluate the expression when $x=6\text{and}y=12$. (Lesson 1.3)

localid="1649147546197" $\frac{x+y}{3}$

Short answer

The value of the expression is6.

Step-by-step solution

Step-1 – Order of operations

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step-2 – Evaluate expression inside grouping symbol

To evaluate the expression $\frac{x+y}{3}$, substitute 6 for x and 12 for y in the given expression and simplify the expression on numerator as follows

$\begin{array}{c}\frac{x+y}{3}=\frac{6+12}{3}\\ =\frac{18}{3}\end{array}$

Step-3 – Divide the numbers

Now to simplify further, divide the numbers to get

$\begin{array}{c}\frac{x+y}{3}=\frac{18}{3}\\ =6\end{array}$

Thus, the value of the expression is 6.