Question

Line segment XY has a midpoint at Z. The length of XZ is 4x - 7. The length of XY is 6x - 8. What is the value of x?

Answer 1

x = 3

Explanation:

given Z is the midpoint of XY , then XZ = ZY = 4x - 7 , and

XZ + ZY = XY ( substitute values )

4x - 7 + 4x - 7 = 6x - 8 ( simplify left side )

8x - 14 = 6x - 8 ( subtract 6x from both sides )

8x - 6x - 14 = 6x - 6x - 8 ( simplify both sides )

2x - 14 = - 8 ( add 14 to both sides )

2x - 14 + 14 = - 8 + 14 ( simplify both sides )

2x = 6 ( divide both sides by 2 )

`(2)/(2)` x =
`(6)/(2)` , that is

x = 3