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

-0.239

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=(-7.5858)/(31.7145) \\ x=-0.239 \end{gathered}`

The value of x is -0.239