Solve the system of equations for xxx: {1x+1y=51y+1z=61x+1z=7\begin{cases} \frac{1}{x} + \frac{1}{y} = 5 \\ \frac{1}{y} + \frac{1}{z} = 6 \\ \frac{1}{x} + \frac{1}{z} = 7 \end{cases}⎩⎨⎧x1+y1=5y1+z1=6x1+z1=7
12\frac{1}{2}21
13\frac{1}{3}31
14\frac{1}{4}41
15\frac{1}{5}51