(question in description)

Question

On a number line, the midpoint of segment AB is M. Point A corresponds to 2x - 18, point B corresponds to x - 20, and point M corresponds to -10. Find the coordinates of point A and point B.

Answer 1

A (2x-18)------------M (-10)------------B (x-20)

[(2x-18)+(x-20)]/2=-10

2x-18+x-20=-20

3x-38=-20

3x=38-20

3x=18

x=6

2x-18=2*6-18=12-18=-6 for point A

6-20=-14 for point B

A (-6)-------M (-10)-------B (-14)