Hey there!
[tex]Step^1:[/tex] we have to [tex]simplify[/tex] your factions
[tex]Like: [/tex] [tex]z - \frac{4}{9} - \frac{1}{3} = \frac{5}{9} [/tex]
[tex]Replace[/tex] the [tex]subtraction [/tex] symbol to the [tex]additional [/tex] symbol since [tex]adding[/tex] is the opposite of [tex]subtraction [/tex] (since we changed the symbols the first two fractions numerators becomes a negative)
Our problem becomes: [tex] z + \frac{-4}{9} + \frac{-1}{3} = \frac{5}{9} [/tex]
Let's gather all of our "[tex]like-terms[/tex]" (if we have any in this question/problem)
[tex]Like: [/tex] [tex]z + \frac{-4}{9} + \frac{-1}{3} \\ = \frac{5}{9} [/tex]
The step we just did when we [tex]solved [/tex] it gave us: [tex]z + \frac{-7}{9} = \frac{5}{9} [/tex]
For our last step: Let's [tex]Add [/tex] by the number/fraction [tex] \frac{7}{9} [/tex] on each of your sides that we're working with!
[tex]Like:[/tex] [tex]z + \frac{-7}{9} + \frac{7}{9} (Cancel) \\ = \frac{5}{9} + \frac{9}{9} (Keep) [/tex]
Therefore, we have came to our [tex]answer[/tex] , which is: [tex]z = \frac{4}{3} [/tex]
Good luck on your assignment and enjoy your day!
[tex]MeIsKaitlyn:)[/tex]
Sorry, I was late to answering your question :(
