Question

How can 1/5x-2=1/3x+8 be set up as a system of equation

5y-5x=-10; 3y-3x=24
5y-5x=-10; 3y-3x=24
5y-x =-10; 3y+x=24
5y-x=-10; 3y-x=24

Answer 1

hello :
1/5x-2=1/3x+8
let ; y = 1/5x-2 ..... (1)
y=1/3x+8 .....(2)
by (1) : 1/5 x =y+2
x = 5y +10....(*)
by (2) : 1/3x = y-8
x = 3y-24 ....(**)
(*) :5y-x = -10
(**) : 3y-x =24 ......( last answer )