Question

Evaluate the expression when $x=2\text{and y=8}$

localid="1649145470856" $6\left(x+y\right)$

Short answer

The value of the expression is60.

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 given expression$6\left(x+y\right)$, substitute 2 for x and 8 for y and simplify the expression inside the parenthesis as shown below

$\begin{array}{l}6\left(x+y\right)=6\left(2+8\right)\\ =6\left(10\right)\end{array}$

Step-3 – Multiply the numbers

Now to simplify further, multiply the numbers to get

$\begin{array}{l}6\left(10\right)\\ =60\end{array}$

Thus, the value of the expression is 60.