Question

solve the following equations.​

Answer 1

Answer:

$\displaystyle\frac{n}{5}-\frac{5}{7}=\frac{2}{3}\quad :\quad n=\frac{145}{21}\quad \left(\mathrm{Decimal}:\quad n=6.90476\dots \right)$

Step-by-step explanation:

$\displaystyle\frac{n}{5}-\frac{5}{7}=\frac{2}{3}$

$\displaystyle\gray{\mathrm{Add\:}\frac{5}{7}\mathrm{\:to\:both\:sides}}$

$\displaystyle\frac{n}{5}-\frac{5}{7}+\frac{5}{7}=\frac{2}{3}+\frac{5}{7}$

$\gray{\mathrm{Simplify}}$

$\displaystyle\frac{n}{5}=\frac{29}{21}$

$\gray{\mathrm{Multiply\:both\:sides\:by\:}5}$

$\displaystyle\frac{5n}{5}=\frac{29\cdot \:5}{21}$

$\gray{\mathrm{Simplify}}$

$\displaystyle n=\frac{145}{21}$

Answer 2

Answer:-

Given in the attachment :-