Question

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

localid="1649147588022" $7x-\left(y+1\right)$

Short answer

The value of the expression is29.

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 $7x-\left(y+1\right)$, substitute 6 for x and 12 for y in the given expression and simplify the expression inside the parenthesis as follows

$\begin{array}{c}7x-\left(y+1\right)=7\cdot 6-\left(12+1\right)\\ =7\cdot 6-\left(13\right)\\ =7\cdot 6-13\end{array}$

Step-3 – Multiply from left to right

Now to simplify further, multiply the first two numbers to get

$\begin{array}{c}7x-\left(y+1\right)=7\cdot 6-13\\ =42-13\end{array}$

Step-4 – Subtract the numbers

Now to simplify further, subtract the numbers to get

$\begin{array}{c}7x-\left(y+1\right)=42-13\\ =29\end{array}$

Thus, the value of the expression is 29.