Question

Determine if -6 is the solution to the equation below. Explain your reasoning.

8(0.25x + 5) - 25 = 3​

Answer 1

To determine if -6 is the solution to the equation 8(0.25x + 5) - 25 = 3, substitute -6 for x and simplify the equation.

Step-by-step explanation:

The correct answer is option 7. To determine if -6 is a solution to the equation, we substitute -6 for x in the equation and simplify:

1. Start with the equation: 8(0.25x + 5) - 25 = 3
2. Replace x with -6: 8(0.25(-6) + 5) - 25 = 3
3. Simplify: 8(-1.5 + 5) - 25 = 3
4. Further simplify: 8(3.5) - 25 = 3
5. Even more simplify: 28 - 25 = 3
6. Final simplification: 3 = 3

Since the final simplification results in a true statement, -6 is indeed a solution to the equation.