Question

Evaluate the expression when$x=20\text{and}y=5$.

$\frac{x+5}{y}$

Short answer

The value of the expression is5.

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.

. Multiply from left to right

To evaluate the given expression$\frac{x+5}{y}$, substitute 20 for x and 5 for y and simplify further as shown below

$\begin{array}{c}\frac{x+5}{y}=\frac{20+5}{5}\\ =\frac{25}{5}\end{array}$

Step 3  . Divide the numbers

Now to simplify further, divide the numbers to get

$\begin{array}{l}\frac{25}{5}\\ =5\end{array}$

Thus, the value of the expression is 5.