3.

(08.03)

Solve the system of equations and choose the correct answer from the list of options.

d + e = 1
−d + e = −5

Label the ordered pair as (d, e). (4 points)

(0, 0)

(3, −2)

(−2, 3)

(−3, 0)

1 answer

To solve the system of equations, we can add the two equations together to eliminate d:

d + e + (-d + e) = 1 + (-5)
e + e = -4
2e = -4
e = -2

Substitute e = -2 back into the first equation to solve for d:
d + (-2) = 1
d = 3

Therefore, the correct answer is (3, -2). So the ordered pair is (d, e) = (3, -2).

(3, -2)