Question

Solve this equation

7/9 + n = 3n + 1/9

Answer 1

n =
`(1)/(3)`

Explanation:

`(7)/(9)` + n = 3n +
`(1)/(9)`

Multiply through by 9 to clear the fractions

7 + 9n = 27n + 1 ( subtract 9n from both sides )

7 = 18n + 1 ( subtract 1 from both sides )

6 = 18n ( divide both sides by 18 )

`(6)/(18)` = n , that is

n =
`(1)/(3)`

Answer 2

subtract n from both sides

7/9 = 2n +1/9

subtract 1/9 from both sides

6/9 = 2n

divide both sides ÷2

n = 6/18 = 1/3