Question

Select all the ordered pairs that are solutions to the equation 2x + y = -12.

a) Which of the ordered pairs are solutions to the equation 2x + y = -12?

(-10, 8)
(-9, -6)
(-8, -2)
(0, -12)
(4, -20)

Answer 1

The ordered pairs (-10, 8), (0, -12), and (4, -20) are solutions to the equation 2x + y = -12.

Step-by-step explanation:

To determine which ordered pairs are solutions to the equation 2x + y = -12, we substitute the values of x and y from each ordered pair into the equation and check if the equation is satisfied. Let's check the ordered pairs:

1. (-10, 8): 2(-10) + 8 = -20 + 8 = -12 (satisfies the equation).
2. (-9, -6): 2(-9) + (-6) = -18 - 6 = -24 (does not satisfy the equation).
3. (-8, -2): 2(-8) + (-2) = -16 - 2 = -18 (does not satisfy the equation).
4. (0, -12): 2(0) + (-12) = -12 (satisfies the equation).
5. (4, -20): 2(4) + (-20) = 8 - 20 = -12 (satisfies the equation).

Therefore, the ordered pairs (-10, 8), (0, -12), and (4, -20) are solutions to the equation 2x + y = -12.