I will guess that the subject line, "solve this", applies to the contents of the post. This assumption is frequently inaccurate, so please accept my apologies if the brusque title was not mean to be relevant.
However, your formatting is ambiguous, and more clear instructions would be helpful. For instance, is the first equation what was posted?
. . . . .\(\displaystyle \large{y\,=\,\frac{1}{x}\,+\,1}\)
Or was it actually more like the following?
. . . . .\(\displaystyle \large{y\,=\,\frac{1}{x\,+\,1}\)
And are these two separate exercises, or is this one system of equations? What are the specific method(s) by which you are expected to solve?
Please reply with specifics, including a clear listing of what you have tried thus far. Thank you.
Eliz.