system of equations with 3 variables in denominator

I'm having problems with this system of equations:

$$\frac{3}{x+y}+\frac{2}{x-z}=\frac{3}{2}$$

$$\frac{1}{x+y}-\frac{10}{y-z}=\frac{7}{3}$$

$$\frac{3}{x-z}+\frac{5}{y-z}=-\frac{1}{4}$$

I've tried substitution method but that took me nowhere, I'm not sure I can solve it and would appreciate if anyone showed me the proper method to solve this problem.

I'm having problems with this system of equations:

$$\frac{3}{x+y}+\frac{2}{x-z}=\frac{3}{2}$$

$$\frac{1}{x+y}-\frac{10}{y-z}=\frac{7}{3}$$

$$\frac{3}{x-z}+\frac{5}{y-z}=-\frac{1}{4}$$

I've tried substitution method but that took me nowhere, I'm not sure I can solve it and would appreciate if anyone showed me the proper method to solve this problem.