<s>[INST] Find $x+y+z$ from the equation In the equation 
$$\dfrac{37}{13}=2+\dfrac{1}{x+\dfrac{1}{y+\dfrac 1z}}$$ 
find the value of $x+y+z$ 
How can I know the value of three variables while there is only one equation?
 [/INST] $$\frac{26+11}{13}=2+\frac{1}{\frac{13}{11}}=2+\frac{1}{1+\frac{1}{\frac{11}{2}}}=2+\frac{1}{1+\frac{1}{5+\frac{1}{2}}}$$
</s>