Question

Which ordered pair is the solution to the system of equations?

x+3y=-12
y=1/3x-6


a. (10, -2 2/3)
b. (-5, -2 1/3)
c. (3,-5)
d. (-9,-9)

Answer 1

c. (3, -5)

Explanation:

{x + 3y = -12

{y = ⅓x - 6

x + 3[⅓x - 6] = -12

x + x - 18 = -12

2x - 18 = -12

+ 18 + 18

____________

2x = 6

__ _

2 2

x = 3 [Plug this back into both equations to get the y-coordinate of -5]; -5 = y

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