Question

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

localid="1648809832146" $\frac{x-22}{y}$

Short answer

The value of the expression is $-2.5$.

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$\frac{x-22}{y}$, substitute 2 for x and 8 for y and simplify the expression on numerator as shown below

$\begin{array}{l}\frac{x-22}{y}=\frac{2-22}{8}\\ =\frac{-20}{8}\end{array}$

Step-3 – Divide the numbers

Now to simplify further, divide the numbers to get

$\begin{array}{l}\frac{-20}{8}\\ =-2.5\end{array}$

Thus, the value of the expression is $-2.5$.