Question

Solve the equation -4x - y = 24 for ordered pairs. It looks like this: (_, 8).

a) (4, -32)
b) (-8, 32)
c) (6, -24)
d) (-6, 24)

Answer 1

After solving the equation -4x - y = 24 with y = 8, we find that the correct ordered pair is (-8, 8). None of the given options match this result.

Step-by-step explanation:

To solve the equation -4x - y = 24 for ordered pairs, we substitute the value of y from the given partial ordered pair (_,8) into the equation and solve for x:

1. Substitute y = 8 into the equation: -4x - 8 = 24.
2. Add 8 to both sides: -4x = 24 + 8.
3. Simplify the right side: -4x = 32.
4. Divide both sides by -4 to solve for x: x = 32 / -4.
5. Calculate the value of x: x = -8.

Therefore, the correct ordered pair that solves the equation when y = 8 is (-8, 8), which is not listed in the given options. The provided options do not satisfy the condition y = 8.