back down vs elevate

back down

verb
  • To withdraw from a commitment or position. 

  • To take a less aggressive position in a conflict than one previously has or has planned to. 

elevate

verb
  • To raise (something) to a higher position. 

  • To direct (the mind, thoughts, etc.) toward more worthy things. 

  • To confer honor or nobility on (someone). 

  • To promote (someone) to a higher rank. 

  • To make (something or someone) more worthy or of greater value. 

  • To increase the intensity or degree of (something). 

How often have the words back down and elevate occurred in a corpus of books? (source: Google Ngram Viewer )