Question

Find V with steps. Please do it fast and you will get 50 points for it. Don't lose this golden chance but the answer must be correct. ​

Answer 1

$\implies\sf \dfrac{10 - v}{2} = \dfrac{v - 0}{3} + \dfrac{v - 5}{5}$

$\implies\sf \dfrac{10 - v}{2} = \dfrac{5(v) + 3(v - 5)}{15}$

$\implies\sf \dfrac{10 - v}{2} = \dfrac{5v + 3v - 15}{15}$

$\implies\sf \dfrac{10 - v}{2} = \dfrac{8v - 15}{15}$

$\implies\sf 15({10 - v}) = 2({8v - 15} )$

$\implies\sf 150 - 15v = 16v - 30$

$\implies\sf - 15v - 16v = - 30 - 150$

$\implies\sf - 31 v= - 180$

$\implies\sf 31 v= 180$

$~~~~~~~\boxed{\bf\gray{ v= \dfrac{180}{31}} }$