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

x + y = 5 . . . . . . . . (1)
y = 1/2x + 2 . . . . . .(2)
putting (2) into (1), we have,
x + 1/2x + 2 = 5
3/2x = 5 - 2 = 3
x = (3 x 2)/ 3 = 2
y = 1/2(2) + 2 = 1 + 2 = 3
Answer: the third option.