Question

Which of the following represents the s3/solution of 3/2=3/2x-6/5x

Answer 1

1/5 IS CORRECT (e2020/edge)

Explanation:

Answer 2

x = 5/9

Explanation:

`(3)/(2)=(3x)/(2)-(6x)/(5)\\`

In order to make this equation easier, we can multiply both sides by a number to get rid of the fractions. The denominators are 2 and 5. We can multiply both sides by 10 (the lcm)

`10*(3)/(2) =10(3x)/(2)+10(6x)/(5)\\15 = 15x+12x\\15 = 27x\\x = (15)/(27)`

We can simplify this fraction. 15 and 27 are both multiples of 3

15/3 = 5

27/3 = 9

`(15)/(27)`⇒
`(5)/(9)`