How can 1/5x − 2 = 1/3x + 8 be set up as a system of equations? 5y − 5x = −10 3y − 3x = 24 5y − 5x = −10 3y + 3x = 24 5y + x = −10 3y + x = 24 5y − x = −10 3y − x = 24

1/5x − 2 = 1/3x + 8 would be better writtetn as (1/5)x − 2 = (1/3)x + 8, because doing so makes it clearer what the coefficients of x are.

Create two functions from    (1/5)x − 2 = (1/3)x + 8L

 y = (1/5)x − 2
 y =  (1/3)x + 8

Now let's eliminate the fractinal coefficients:

Mult. the first eq'n by 5, and then mult. the second by 3.

First result:  5y = x - 10.  Now you do the second equation.