Question

Solve the equation for 2z/5-3 =5z/6+10

Answer 1

$\bf{\underline{\underline{\bigstar\bigstar\: Solution :}}}$

$\:$

$\footnotesize{\dfrac{2z}{5} - 3 = \dfrac{5z}{6} + 10}$

$\footnotesize{\implies \dfrac{2z - 15}{5} = \dfrac{5z + 60}{6}}$

$\footnotesize{\implies ( 2z - 15 ) \times 6 = (5z + 60) \times 5}$

$\footnotesize{\implies 12z - 90 = 25z + 300}$

$\footnotesize{\implies -300 - 90 = 25z - 12z }$

$\footnotesize{\implies -390 = 13z }$

$\footnotesize{\implies \dfrac{-390}{13} = z }$

$\footnotesize{\implies -30 = z }$

$\:$

$\bold{\therefore \: Value \: of \: z \: is \: -30}$