Question

Point y is between the points X and Z. if XY =3x- 4 , YZ = 2x +3, and XZ =24​

Answer 1

The numerical value of XY is 11

The numerical value of YZ is 13

Explanation:

Given that

XY =3x- 4 , YZ = 2x +3, and XZ =24​

As Y is between the points X and Z so the sum of length of XY and YZ will be equal to the length of XZ. Putting this in mathematical form

`XY+YZ = XZ`

Putting the values

`(3x-4) + (2x+3) = 24\\3x-4+2x+3 = 24\\5x-1 = 24\\5x = 24+1 \\(5x)/(5) = (25)/(5)\\x = 5`

Now

`XY = 3x-4 = 3(5)-4 = 15-4 = 11`

`YZ = 2x+3 = 2(5)+3 = 10+3 = 13`

Hence,

The numerical value of XY is 11

The numerical value of YZ is 13