Question

Solve the following equation(2m)/3 + 1/2 - m/5 = (4m)/5 + 5​

Answer 1

m = - 13.5

Explanation:

Given

`(2m)/(3)` +
`(1)/(2)` -
`(m)/(5)` =
`(4m)/(5)` + 5

Multiply through by 30 ( the LCM of 3, 2, 5 ) to clear the fractions

20m + 15 - 6m = 24m + 150 , that is

14m + 15 = 24m + 150 ( subtract 24m from both sides )

- 10m + 15 = 150 ( subtract 15 from both sides )

- 10m = 135 ( divide both sides by - 10 )

m = - 13.5