Question

Evaluate the expression when $x=3,y=4,\text{\hspace{0.17em}and}z=5$

localid="1648626016624" $\frac{6.5y}{x-1}$

Short answer

The value of expression is13.

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 – Substitute the values

To evaluate the expression$\frac{6.5y}{x-1}$ , substitute 3 for x and 4 for y, and simplify further using the order of operations as shown below,

$\begin{array}{c}\frac{6.5y}{x-1}=\frac{6.5\left(4\right)}{3-1}\\ =\frac{26}{3-1}\\ =\frac{26}{2}\end{array}$

Step-3 – Divide the numbers

To simplify further, divide the resulting numbers to get

$\begin{array}{c}\frac{6.5y}{x-1}=\frac{26}{2}\\ =13\end{array}$

So, the value of the expression is 13.