Question

What are two ways to solve this equation.

Answer 1

Answer:

x = - $\frac{96}{23}$     or   x=  4.1739

Step-by-step explanation:

$\frac{3x}{8}$  -  $\frac{4x}{3}$  =  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 ×$\frac{3x}{8}$  - 24× $\frac{4x}{3}$  = 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=-$\frac{96}{23}$        or      x=4.1739

second method

$\frac{3x}{8}$  -  $\frac{4x}{3}$  =  4

$\frac{9x - 32x}{24}$   =   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 = - $\frac{96}{23}$     or   x=  4.1739