1. **State the problem:** Determine if $b=6$ is a solution for each equation. 2. **Equation a: $8b=48$** Substitute $b=6$: $$8 \times 6 = 48$$ $$48 = 48$$ True, so $b=6$ is a solution. 3. **Equation b: $11 - b = 6$** Substitute $b=6$: $$11 - 6 = 6$$ $$5 = 6$$ False, so $b=6$ is not a solution. 4. **Equation c: $b + 3 = 9$** Substitute $b=6$: $$6 + 3 = 9$$ $$9 = 9$$ True, so $b=6$ is a solution. 5. **Equation d: $54 \div b = 9$** Substitute $b=6$: $$54 \div 6 = 9$$ $$9 = 9$$ True, so $b=6$ is a solution. **Final answers:** - a: $b=6$ is a solution. - b: $b=6$ is not a solution. - c: $b=6$ is a solution. - d: $b=6$ is a solution.