Question

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

Answer 1

`6x - (1)/(5) = (3)/(1) \\ \\ 6x - (1)/(5) = 3 \\ \\ 6x = 3 + (1)/(5) \\ \\ 6x = (16)/(5) \\ \\ x = (16)/(5 * 6) \\ \\ x = (16)/(30) \\ \\ x = (8)/(15) \\ \\ Answer: \fbox {x = 8/15} \ or \ \fbox {x = 0.5333}`

Answer 2

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