Question

A pair 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)

Answer 1

I am positive the answer is C: (2, 3)

Explanation:

Answer 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).