Q34. - Algebra 1

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

Step-by-Step Solution

Answer

The value of the expression is 5.

Step 1 – Write the given information

The expression given is 

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

And

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

Step 2 - 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, $8a+5b-11a-7b=5$.