[tex]y = \frac{1}{x - 3} + 7[/tex]
[tex]x = \frac{1}{y - 3} + 7[/tex]
[tex]x - 7 = \frac{1}{y - 3} [/tex]
[tex]y - 3 = \frac{1}{x - 7} [/tex]
[tex]y = \frac{1}{x - 7} + 3[/tex]