# How do you solve (2+t)/3=4-6/7t?

May 22, 2017

Soluttion : $t = 2 \frac{4}{5}$

#### Explanation:

$\frac{2 + t}{3} = 4 - \frac{6}{7} t$. LCM of denominators $3 \mathmr{and} 7$ is $21$

Multiplying by $21$ on both sides we get,

$7 \left(2 + t\right) = 84 - 18 t \mathmr{and} 14 + 7 t = 84 - 18 t \mathmr{and} 7 t + 18 t = 84 - 14 \mathmr{and} 25 t = 70$ or

$t = \frac{70}{25} = \frac{14}{5} = 2 \frac{4}{5}$

Soluttion : $t = 2 \frac{4}{5}$ [Ans]