Final answer:
Neither Krishna nor Pablo wrote a correct expression when attempting to simplify 2x + 6 / 5 - x. The correct simplification of the ambiguous expression should keep the 6 / 5 term as it is and combine the x terms to yield x + 6 / 5.
Step-by-step explanation:
The student is asking which version of the expression is correct when rewriting 2x + 6 / 5 - x. Krishna's version is x + 3 + 5 - x and Pablo's version is 2x + 3 + 5 - x. To determine the correct expression, we should clarify and rewrite the original expression into a simpler form.
Let's start by addressing the ambiguity in the original expression. If the original expression is meant to be (2x + 6) / (5 - x), neither Krishna nor Pablo's version is correct because they appear to have misunderstood the division operation. However, if the original expression is miswritten and should be 2x + (6 / 5) - x, then Pablo's version is correct because it correctly simplifies the expression by combining like terms.
We will assume the correct expression to examine is 2x + (6 / 5) - x. Pablo's version, 2x + 3 + 5 - x, adds 3 and 5 which is not correct because 6 / 5 is being misinterpreted. Actually, 6 / 5 cannot be simplified to 3. Krishna's version, x + 3 + 5 - x, adds 3 and 5 where 3 is also incorrectly representing 6 / 5. Neither of these forms is a correct simplification.
To correctly simplify the expression, you would keep 6 / 5 intact because it cannot be simplified further and combine the x terms. This would result in 2x - x + 6 / 5 or x + 6 / 5, which no student proposed.