Question

Evaluate each expression if $\mathit{a}\mathbf{=}\mathbf{-}\mathbf{1}\mathbf{,}\mathit{b}\mathbf{=}\mathbf{4}\mathbf{,}\mathbf{\text{\hspace{0.33em}and}}\mathit{c}\mathbf{=}\mathbf{6}$.

34.$\mathbf{8}\mathit{a}\mathbf{+}\mathbf{5}\mathit{b}\mathbf{-}\mathbf{11}\mathit{a}\mathbf{-}\mathbf{7}\mathit{b}$

Short answer

The value of the expression is 5.

Step-by-step solution

– Write the given information

The expression given is

$8a+5b-11a-7b$

And

$a=-1,b=4\text{and}c=6$

- DESCRIPTION OF STEP

To solve the given expression substitute variables a, and b by $-1$, and 4 respectively, as:

$\begin{array}{c}8a+5b-11a-7b=8\left(-1\right)+5\left(4\right)-11\left(-1\right)-7\left(4\right)\\ =-8+20+11-28\\ =12+11-28\\ =33-28\\ =5\end{array}$

Thus, $8a+5b-11a-7b=5$.