The method used to solve this problem is algebraic manipulation. We have proven that tw = 11 given that tuvw = 77 and uv = 7.
Specifically, we divided both sides of the equation tuvw = 77 by uv = 7, which allowed us to isolate the variable tw.
This is a common method for solving equations with multiple variables.
The proof that tw = 11 given tuvw = 77 and uv = 7:
Step 1: Divide both sides of the equation tuvw = 77 by uv = 7:
tuvw / uv = 77 / 7
Step 2: Simplify:
tw = 11
Therefore, we have proven that tw = 11 given that tuvw = 77 and uv = 7.