Question

Let W be a point between points U and V on . If UV = 13, UW = 2y – 9, and WV = y – 5, solve for y.

Answer 1

you would do 9/2
9/2=4.5
2*4.5=9

Answer 2

The value of y is 9.

Explanation:

Given : W be a point between points U and V also, UV = 13, UW = 2y – 9, and WV = y – 5

We have to solve for y.

Since, W is a point between points U and V .

Then distance of point W from U and distance of point from V is equal to the distance of UV.

Then, UW + WV = UV

Substitute , the values, we get,

Then 2y – 9 + y – 5 = 13

Solving for y , we get,

⇒ 3y - 14 = 13

⇒ 3y = 13 + 14

⇒ 3y = 27

⇒ y = 9

Thus, the value of y is 9.