Question

Need help on homework

Answer 1

`\begin{gathered} (z)/(5)-5=3\cdot(2)/(3) \\ 3\cdot(2)/(3)=(9+2)/(3)=(11)/(3) \\ (z)/(5)-5=(11)/(3) \\ \text{add 5 to both sides} \\ (z)/(5)-5+5=(11)/(3)+5 \\ (z)/(5)=(26)/(3) \\ \text{Multiply both sides by 5:} \\ 5*(z)/(5)=5*(26)/(3) \\ z=(130)/(3) \end{gathered}`

Awesome :), thanks for your patience. anything else I can help with? sure, I will help you with one more, alright, give me a moment to solve it

----------------------------------------------------------------------------------------------------

`\begin{gathered} \text{Distributive property:} \\ a(b\pm c)=a\cdot b\pm a\cdot c \\ 48-(3c+4)=4(c+7)+c \\ 48-3c-4=4c+28+c \\ 48-3c-4=5c+28 \\ 44-3c=5c+28 \\ \text{Add 3c to both sides} \\ 44-3c+3c=5c+28+3c \\ 44=8c+28 \\ \text{subract 28 from both sides:} \\ 44-28=8c+28-28 \\ 16=8c \\ \text{Divide both sides by 8:} \\ (16)/(8)=(8c)/(8) \\ c=2 \end{gathered}`