Final answer:
To determine which equations have a = 8 as a solution, we need to substitute a = 8 into each equation and see if it holds true. The equations where a = 8 is a solution are Choice B, Choice C, and Choice E.
Step-by-step explanation:
To determine which equations have a = 8 as a solution, we need to substitute a = 8 into each equation and see if it holds true. Let's go through the choices:
- Choice A: a + 11 = 15. Substituting a = 8, we have 8 + 11 = 15. This equation is not true, so it is not a solution.
- Choice B: 1 = 8 ÷ a. Substituting a = 8, we have 1 = 8 ÷ 8, which simplifies to 1 = 1. This equation is true, so it is a solution.
- Choice C: 15 + a = 23. Substituting a = 8, we have 15 + 8 = 23. This equation is true, so it is a solution.
- Choice D: 42 = 7a. Substituting a = 8, we have 42 = 7(8), which simplifies to 42 = 56. This equation is not true, so it is not a solution.
- Choice E: a - 5 = 3. Substituting a = 8, we have 8 - 5 = 3. This equation is true, so it is a solution.
Therefore, the equations where a = 8 is a solution are Choice B, Choice C, and Choice E.