Verified Answer :

-1/3+2z=5/6
2z=5/6+1/3
z=7/6(1/2)
Z=7/12

-2/3x+3/7=1/2
-2/3x=1/2-3/7
x=1/14(-3/2)
X=-3/28

\(- \frac{1}{3} + 3z = - \frac{5}{6} \\ \\ 2z - \frac{1}{3} = - \frac{5}{6} \\ \\ 2z = - \frac{5}{6} + \frac{1}{3} \\ \\ 2z = - \frac{1}{2} \\ \\ = - \frac{1}{2 \times 2} \\ \\ z = - \frac{1}{4} \\ \\\)

The final result is: z = - 1/4 or z = -0.25.

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\(- \frac{2}{3} x + \frac{3}{7} = \frac{1}{2} \\ \\ - \frac{2x}{3} + \frac{3}{7} = \frac{1}{2} - \frac{2x}{3} = \frac{1}{2} - \frac{3}{7} \\ \\ - \frac{2x}{3} = \frac{1}{14} \\ \\ -2x = \frac{1}{14} \times 3 \\ \\ x = \frac{3}{14 \times -2} \\ \\ x = - \frac{3}{28} \\ \\\)

The final result is: x = - 3/28 or x = -0.1071.