Final answer:
None of the provided options solve to 27 when r = 3. Each option was evaluated by substituting the value of r and simplifying the expression, and none matched the expected result.
Step-by-step explanation:
The student asked which expression has a solution of 27, given r = 3. We need to identify the correct expression from the provided options. Let's evaluate each one step by step:
1 - 8r: Substituting r with 3, we have 1 - 8(3) = 1 - 24 = -23. This does not result in 27.
2 - 6r: Substituting r with 3, we have 2 - 6(3) = 2 - 18 = -16. This does not result in 27.
3 - 9r: Substituting r with 3, we have 3 - 9(3) = 3 - 27 = -24. This does not result in 27.
4 - 7r: Substituting r with 3, we have 4 - 7(3) = 4 - 21 = -17. This does not result in 27.
None of the provided options directly result in 27 when r = 3. There may be a typo or misunderstanding in the question as none of the expressions provided equal 27 when r = 3.
To confirm the correctness, always eliminate terms wherever possible to simplify the algebra, and check the answer to see if it is reasonable.