Hello, skyemonae2!
I need some assistance on a couple of problems-just want to see if I'm on the right track.
Alright I'll show you the processes but not the answers.
\(\displaystyle \L \;-\,4(\,-\,4^{2}\,+\,1\,-\,5u^3)\)
First simplify the \(\displaystyle \,-\,4^2\,\) to -16. Then Distribute the -4, or take -4 times all the terms inside the parenthesis.
So you have: \(\displaystyle \L \;\,-\,4\,\cdot\,-\,16\,+\,\,-\,4\,\cdot\,1\,+\,-\,4\,\cdot\,-\,5u^3\)
If you are confused on that, check on
Distributive Property/Distributive Property of Multiplication over Addition.
\(\displaystyle \L \;\,-\,8t\,-\,11t\,=\,-\,19\)
Combine like terms on the left side of the equal sign: \(\displaystyle \L \;-\,19t\,=\,-\,19\)
So what does \(\displaystyle t\) have to be?
\(\displaystyle \L \;\frac{1}{3}x\,+\,\frac{1}{2}\,=\,\frac{2}{5}\)
Subtract \(\displaystyle \frac{1}{2}\) from both sides of the equation: \(\displaystyle \L \;\frac{1}{3}x\,=\,-\,\frac{1}{10}\)
So what does \(\displaystyle x\) equal?
There you go!