Final answer:
The question asked about finding the value of x at the intersection of lines DE and AB, but the provided reference information does not match the question. Thus, it's not possible to provide a correct answer without additional context or a diagram.
Step-by-step explanation:
The student's question appears to involve finding the value of x where lines DE and AB intersect at point C; however, there isn't enough provided information to answer the question accurately. While options are given (A, B, C, and D), without additional context or a diagram, these cannot be assessed. In contrast, the reference information provided pertains to linear equations and vectors, which do not connect to the question about the intersection of lines and determining the value of x. Based on the guidelines given, I would suggest the student to either provide the full context of the problem or refer to their class notes or textbook for clarification on the topic.