U is the midpoint of TV. If TU = 7x and TV = 11x + 3, what is TV?

Question

The answer for the question

Answer 1

We start with the line segment TV. We are told that U is the midpoint of TV. So, put a point in the middle of segment TV and label it U. TV is now divided into 2 equal parts: TU and UV.

It is given that the entire segment TV = 11x + 3

AND that one part (half) of TV, which is segment TU is equal to 7x.

So, by definition of a midpoint, TU and UV are equal lengths and when adding them together they equal the length of TV.

TU = 7x , therefore UV = 7x

So, 7x + 7x = 11x + 3

14x = 11x + 3

-11x. -11x

3x = 3

x = 1

TV = 11x + 3

= 11(1) + 3

= 11 + 3 = 14

Answer 2

TV = 2(TU)

Can you substitute values, solve for x, and answer?