Solve the system of equations: \[\frac{2}{x} + \frac{3}{y} + \frac{10}{z} = 4\] \[\frac{4}{x} - \frac{6}{y} + \frac{5}{z} = 1\] \[\frac{6}{x} + \frac{9}{y} - \frac{20}{z} = 2\]