Question

$\binom{2}5 z \: = \: \binom{3}{8} z \: + \: \binom{7}{20}$

Solve the following equation​

Answer 1

Step-by-step explanation:

$\\ \frac{2}{5} z = \frac{3}{8} z + \frac{7}{20 } \\ \frac{2}{5} z - \frac{3}{8} z = \frac{7}{20 } \\ \frac{(2 \times 8 - 3 \times 5)z}{40} = \frac{7}{20 } \\ \frac{(16 - 15)z}{40} = \frac{7}{20} \\ \frac{z}{40} = \frac{7}{20 } \\ z = \frac{7 \times 40 }{20} \\ z = 14$