Question

Point Y is the midpoint of segment XZ. If XY = 2(3x +1) and YZ = 5x – 22, find the value of x.

Answer 1

`x=-24`

Explanation:

If Y is the midpoint of segment XZ, then
`XY=YZ`.

In terms of x, XY = 2(3x +1) and and YZ = 5x – 22.

This implies that:

`2(3x+1)=5x-22`

Expand the parenthesis

`6x+2=5x-22`

Group similar terms to get:

`6x-5x=-22-2`

`x=-24`