If TU = 2x, UV = 3x, and TV = 10, what is UV?

Question

What is UV, and how do I find it?

 

Answer 1

 

T_________U__________V

      

        2x               3x

 <-----------10------------->

 

2x+3x=10

5x=10

x=10/5

x=2

3*2=6

UV=6

Answer 2

T---------------U------------------------------------V

 

 

TU + UV = TV

 

2x + 3x = 10

 

5x = 10

 

  x = 2

 

UV = 3(2) = 6