Question

Which answer is the solution set in simplest form 6x-1/5=3/1

Answer 1

6x - 1/5 = 3

Do the inverse operation.

6x - 1/5 = 3
     +1/5    +1/5

6x = 3 1/5

6x/6 = 3 1/5 /6

KCF:- Keep the first fraction, change the sign, flip the second fraction.

3 1/5 divided by 6/1

3*5 +1 = 15+1 =16

16/5 * 1/6

16*1 = 16
5*6 = 30

16/30 = 16/2 and 30/2
8/15

Final answer: x = 8/15

Answer 2

$6x - \frac{1}{5} = \frac{3}{1} \\ \\ 6x - \frac{1}{5} = 3 \\ \\ 6x = 3 + \frac{1}{5} \\ \\ 6x = \frac{16}{5} \\ \\ x = \frac{16}{5 \times 6} \\ \\ x = \frac{16}{30} \\ \\ x = \frac{8}{15} \\ \\ Answer: \fbox {x = 8/15} \ or \ \fbox {x = 0.5333}$