For this case what you should do is see the point of intersection of both graphics.
The point of intersection represents the solution of the system of equations.
We have then that the solution is given by:
[tex] (x, y) = (2, -3)
[/tex]
We have then that the system of equations is:
[tex] (1/2) x-4 = -2x + 1
[/tex]
Substituting the value of x = 2 the result on both sides of the equation must be -3.
We have then:
[tex] (1/2) (2) -4 = -2 (2) +1
1-4 = -4 + 1
-3 = -3
[/tex]
Abswer:
[tex] (1/2) x-4 = -2x + 1 [/tex]