Q33. - Algebra 1

Question

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

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

Step-by-Step Solution

Answer

The value of the expression is $-18$.

Step 1 – Write the given information

The expression given is

$a-b+5a-2b$

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:

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

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