Zhang Lin: Art Mathematics

Wang Wei: Political Language

First, Zhang Lin is the youngest, so we know from condition 4 that he can't be a PE teacher. Through condition 5, we know that it can't be a music and Chinese teacher, so Zhang Lin may be a teacher of art, mathematics and politics. The first condition is that math and politics teachers are neighbors, so politics and math will not be the same person. Then the subjects that Zhang Lin can teach are A art and math, or B art and politics, so Zhang Lin must teach art.

Secondly, through the third condition, I learned that Wang Wei can't be a math and physical education teacher, and I learned last step that Zhang Lin must be an art teacher, so Wang Wei can't be an art teacher either, so Wang Wei can only teach Chinese, music and politics. Through condition 5, I know that music and Chinese are not the same teacher, so I finally come to the conclusion that Wang Wei teaches C politics and music, or D politics and Chinese.

So Wang Wei must teach politics.

Thirdly, first of all, combined with the analysis of the above two parts, it is concluded that Zhao Xin's speed skaters must be teaching physical education. He will not be an art and political teacher. Then besides physical education, all he can teach is math, Chinese and music. Then Zhao Xin's speed skating subjects are E sports and math, F sports and Chinese, G sports and music. But through condition 3, we know that mathematics and physical education are not the same person, so E is excluded, and through condition 4, we know that physical education and Chinese are not the same person, so F is excluded. Finally, Zhao Xin must be a physical education and music teacher.

Fourthly, the subjects that Zhang Lin can teach are A art and math, or B art and politics.

Wang Wei teaches C politics and music, or D politics and Chinese.

Zhao Xin's speed skater must be a PE and music teacher.

So finally come to the conclusion

A little wordy, hehe