Question

1/3t+4/5=3/5-t how would i solve this equation step by step?​

Answer 1

Solution :

$t = \frac{3}{20}$

Step-by-step explaination:

$\frac{1}{3} t + \frac{4}{5} = \frac{3}{5} - t$

1. Substract 1/5 from both sides

$\frac{1}{3} t + \frac{4}{5} - \frac{4}{5} = \frac{3}{5} - t - \frac{4}{5}$

2. Simplify

$\frac{1}{3} t = - t - \frac{1}{5}$

3. Add t to both sides

$\frac{1}{3} t + t = - t - \frac{1}{5} + t$

4. Simplify

$4t = - \frac{3}{5}$

5. Divide both sides by 4

$\frac{4t}{4} = \frac{ - \frac{3}{5} }{4}$

6. Simplify

$t = - \frac{3}{2 0}$

Solution :

= $t = - \frac{3}{20}$