Question

5(1-z)/3- 3z-1 /5=1/6
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Answer 1

Answer:

see the above mentioned attachments^^^^^^

Answer 2

$\frac{5(1 - z)}{3} - \frac{3z - 1}{5} = \frac{1}{6} \\ \\ \frac{5 - 5z}{3} - \frac{3z - 1}{5} = \frac{1}{6} \\ \\ 6(5 - 5z) - \frac{3z - 1}{5} = \frac{1 \times 3}{6} \\ \\ 30 - 30z - 3z - 1 = \frac{3 \times 5}{6} \\ \\ 30 - 1 - 30z - 3z = \frac{15}{6} \\ \\ 29 - 33z = \frac{5}{2} \\ \\ - 33z = \frac{5}{2} - \frac{29}{1} \\ \\ lcm \: of \: 2 \: and \: 1 = 2 \times 1 = 2 \\ \\ \frac{5}{2} \times \frac{1}{1} = \frac{5}{2} \\ \\ \frac{29}{1} \times \frac{2}{2} = \frac{58}{2} \\ \\ - 33z = \frac{5}{2} - \frac{58}{2} \\ \\ - 33z = - \frac{56}{2} \\ \\ - z = \frac{ - 56}{2} \div 33 \\ \\ - z = - \frac{56}{2} \times \frac{1}{33} \\ \\ - z = - 28 \times \frac{1}{33} \\ \\ z = \frac{28}{33}$

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