Answered

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)

Verified Answer :

nobillionaireNobley

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.

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