Question

How do you solve this rational equation 3/4-x=x/7

Answer 1

x =
`(21)/(32)`

Explanation:

Given

`(3)/(4)` - x =
`(x)/(7)`

Multiply through by 28 ( the LCM of 4 and 7 ) to clear the fractions

21 - 28x = 4x ( subtract 4x from both sides )

21 - 32x = 0 ( subtract 21 from both sides )

- 32x = - 21 ( divide both sides by - 32 )

x =
`(21)/(32)`