Question

please solve this......
$if \: z = \frac{4}{5} (z + 10)then \: z = ?$
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Answer 1

$\huge \mathfrak{solution}$

$\rightarrow \: z = \frac{4}{5} (z + 10) \\ \\ \rightarrow \: 5z = 4(z + 10) \\ \\ \rightarrow \: 5z = 4z + 40 \\ \\ \rightarrow \: 5z - 4z = 40 \\ \\ \rightarrow \: z = 40$

Hence, the value of Z is 40

Answer 2

$\huge {\boxed{\boxed{\mathfrak{\pink{Solution:}}}}}$

$\implies z = \frac{4}{5} (z + 10 ) \\ \implies z = \frac{4}{5} \times z + \frac{4}{5} \times 10 \\ \implies z = \frac{4z}{5} + 8 \\ \implies z - \frac{4z}{5} = 8 \\ \implies \frac{5z - 4z}{5} = 8 \\ \implies \frac{z}{5} = 8 \\ \implies z =5 \times 8 \\ \implies z = 40$

$\green{\therefore{The \:value\: of \:z\: in\: \frac{4}{5} (z + 10 ) \:is\:40.}}$