Final Answer:
The solution of each equation below is the same as the solution of 3x = 36 - 6x is True
Step-by-step explanation:
To determine whether the solution of each equation is the same as the solution of 3x = 36 - 6x, we need to solve the given equation and compare. The given equation is 3x = 36 - 6x. To solve for x, first, add 6x to both sides to get 9x = 36. Then, divide both sides by 9 to find x = 4. Now, we substitute this solution into the original equations and check if they are true.
For the first equation, we have 2x + 8 = 36. Substituting x = 4, we get 2(4) + 8 = 16 + 8 = 24, which is not equal to 36. Therefore, the solution is false for the first equation.
For the second equation, x + 5 = 9. Substituting x = 4, we get 4 + 5 = 9, which is true. Therefore, the solution is true for the second equation.
In summary, the solution to 3x = 36 - 6x is x = 4. When substituting this into the provided equations, we find that the first equation is false, and the second equation is true. Hence, the final answer is A. True.