Question

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

33.$\mathit{a}\mathbf{-}\mathit{b}\mathbf{+}\mathbf{5}\mathit{a}\mathbf{-}\mathbf{2}\mathit{b}$

Short answer

The value of the expression is $-18$.

Step-by-step solution

– Write the given information

The expression given is

$a-b+5a-2b$

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:

$\begin{array}{c}a-b+5a-2b=-1-4+5\left(-1\right)-2\left(4\right)\\ =-5-5-8\\ =-18\end{array}$

Thus, $a-b+5a-2b=-18$.