Question

(08.01)consider the following equations:

−x − y = 1
y = x 3

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

a. (−1, 2)

b. (−2, 1)

c. (1, −2)

d. (2, −1)

Answer 1

Answer: The answer is (-2, 1)

Answer 2

-x - y = 1 . . . . . (1)
y = x + 3 . . . . . (2)

Putting (2) into (1), gives:
-x - x - 3 = 1
-2x = 1 + 3 = 4
x = 4/-2 = -2

From (2), y = -2 + 3 = 1

Therefore the two line will intersect at the point (-2, 1)