ANSWER
(–4.5, 4.25)
EXPLANATION
The first equation is
[tex]y = - \frac{5}{2}x - 7[/tex]
This function is in the slope-intercept form
The second equation is:
x + 2y = 4
2y =-x+ 4
[tex]y = - \frac{1}{2}x + 2[/tex]
The graph of the two functions are shown in the attachment.
The point of intersection represents the solution to the system of equations they represent.
The solution is
(–4.5, 4.25)