Part (a)
(4, 5)
Part (b)
Yes, the solution to the system will correspond with the point of intersection of the graphs.
Part (c)
[tex]x+1=6-\frac{1}{4}x \\ \\ 4x+4=24-x \\ \\ 5x=20 \\ \\ x=4 \\ \\ \implies y=5[/tex]
Since the solution is x=4, y=5, the point of intersection is (4,5).
