Question

What are two ways to solve this equation.

Answer 1

x = -
`(96)/(23)` or x= 4.1739

Explanation:

`(3x)/(8)` -
`(4x)/(3)` = 4

I will show two methods of solving this equation

First method

We will follow the steps below:

First find the LCM of 8 and 3

The LCM of 8 and 3 is 24

Next is to multiply through by 24

Our equation becomes

24 ×
`(3x)/(8)` - 24×
`(4x)/(3)` = 24× 4

3×3x - 8×4x =24×4

9x - 32x = 96

-23x = 96

Divide both-side of the equation by - 23

-23x/-23= 96/-23

x=-
`(96)/(23)` or x=4.1739

second method

`(3x)/(8)` -
`(4x)/(3)` = 4

`(9x - 32x)/(24)` = 4

multiply both-side of the equation by 24 or cross multiply

9x - 32x = 96

-23x = 96

divide both-side of the equation by -23

x = -
`(96)/(23)` or x= 4.1739