We have the following:
[tex]F=\frac{9}{5}C+32[/tex]1. F - 32 =9/5C
[tex]\begin{gathered} F-32=\frac{9}{5}C \\ F=\frac{9}{5}C+32 \end{gathered}[/tex]It's correct.
2. C = 9/5(F-32)
[tex]\begin{gathered} C=\frac{9}{5}\left(F-32\right) \\ \frac{5}{9}C=F-32 \\ F=\frac{5}{9}+32 \end{gathered}[/tex]It's not correct.
3. 9/5C- F = 32
[tex]\begin{gathered} \frac{9}{5}C-F=32 \\ F=\frac{9}{5}C-32 \end{gathered}[/tex]It's not correct.
4. C=5/9(F-32)
[tex]\begin{gathered} C=\frac{5}{9}\left(F-32\right) \\ \frac{9}{5}C=F-32 \\ F=\frac{9}{5}C+32 \end{gathered}[/tex]It's correct.
5. F+9/5C + 32 = 0
[tex]F=-\frac{9}{5}C-32[/tex]It's not correct.
The options corrects are F - 32 =9/5C and C=5/9(F-32)