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

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

To find: Here we have to find the value $z$ in the given expression $\frac{2}{5} z\ =\ \frac{3}{8} z\ +\ \frac{7}{20}$.

Solution:

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

$\frac{2}{5} z\ -\ \frac{3}{8} z\ =\ \frac{7}{20}$

$\frac{8( 2) z\ -\ 5( 3) z}{40} \ =\ \frac{7}{20}$

$\frac{16z\ -\ 15z}{40} \ =\ \frac{7}{20}$

$\frac{z}{40} \ =\ \frac{7}{20}$

$z\ =\ \frac{40\ \times \ 7}{20}$

$z\ =\ 2\ \times \ 7$

$\mathbf{z\ =\ 14}$

So, value of $z$ is 14.

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Updated on: 10-Oct-2022

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