Apair of equations is shown below.

x + y = 5
y = one halfx + 2

if the two equations are graphed, at what point do the lines representing the two equations intersect?

(2, 5)
(5, 2)
(2, 3)
(3, 2)

The correct answer for the question that is being presented above is this one: 

x + y = 5

y = one halfx + 2
y = 1/2 x + 2
-1/2 x + y = 2

Eliminate y by subtracting the two equations.
x + y = 5
-1/2 x + y = 2

3/2 x = 3
3x = 6
x = 2

x + y = 5
2 + y = 5
y = 5-2
y = 3

So, the answer is (2,3).