Answer:
(2,3)
Step-by-step explanation:
Given : [tex]x + y = 5[/tex]
[tex]y=\frac{x}{2}+2[/tex]
To find: what point do the lines representing the two equations intersect
Solution:
[tex]x + y = 5[/tex]
[tex]y=\frac{x}{2}+2[/tex]
Plot the lines on the graph
Green line denotes [tex]x + y = 5[/tex]
Purple line denotes [tex]y=\frac{x}{2}+2[/tex]
So, Intersection point = (2,3)
Refer the attached figure
So, option C is true
Hence Intersection point is (2,3)