Question

Please see attached photo. I am unclear about order of operations and how to deal with the variable on calculator. I am using TI-83 Plus. Thanks.

Answer 1

ANSWER:

-0.239

STEP-BY-STEP EXPLANATION:

We have the following equation:

$3.252x-8.637=-3.3\cdot\mleft(8.625x+4.916\mright)$

We solve for x:

$\begin{gathered} 3.252x-8.637=-3.3\cdot(8.625x+4.916) \\ 3.252x-8.637=-28.4625x-16.2228 \\ 28.4625x+3.252x=-16.2228+8.637 \\ 31.7145x=-7.5858 \\ x=\frac{-7.5858}{31.7145} \\ x=-0.239 \end{gathered}$

The value of x is -0.239