Question

What is the value of the x variable in the solution to the following system of equations?

4x − 3y = 3
5x − 4y = 3

Answer 1

hello : 
4x − 3y = 3  ...(1)
5x − 4y = 3   ...(2)
by (1) : 3y = 4x-3
y = (4/3)x -1 ...(*)
by (2) : 4y = 5x-3 
y = (5/4)x -3/4 ... (**) 
by (*) (**) ;
(4/3)x -1  =(5/4)x -3/4 
(4/3)x-(5/4)x=1-3/4
(16x-15x)/12 =1/4 = 3/12
x=3