Question

13/7- 7x/5=-29/6 please solve it

Answer 1

Answer:

$\dfrac{13}{7}-7\cdot \dfrac{x}{5}=-\dfrac{29}{6}\quad :\quad x=\dfrac{1405}{294}\quad \left(\mathrm{Decimal}:\quad x=4.77891\dots \right)$

Step-by-step explanation:

$\dfrac{13}{7}-7\cdot \dfrac{x}{5}=-\dfrac{29}{6}$

$\mathrm{Subtract\:}\dfrac{13}{7}\mathrm{\:from\:both\:sides}$

$\dfrac{13}{7}-7\cdot \dfrac{x}{5}-\dfrac{13}{7}=-\dfrac{29}{6}-\dfrac{13}{7}$

$\mathrm{Simplify}$

$-7\cdot \dfrac{x}{5}=-\dfrac{281}{42}$

$\mathrm{Refine\:}-7\cdot \dfrac{x}{5}:\quad -\dfrac{7x}{5}$

$-\dfrac{7x}{5}=-\dfrac{281}{42}$

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

$-\dfrac{7x}{5}\cdot \:5=-\dfrac{281}{42}\cdot \:5$

$\mathrm{Simplify}$

$-7x=-\dfrac{1405}{42}$

$\mathrm{Divide\:both\:sides\:by\:}-7$

$\dfrac{-7x}{-7}=\dfrac{-\dfrac{1405}{42}}{-7}$

$\mathrm{Simplify}$

$x=\dfrac{1405}{294}$