Question

M is the midpoint of AB. If AM = 5x+10 & MB = 4x+16, find the value of AM

Answer 1

`AM =40`

Explanation:

Given

`AM = 5x + 10`

`MB = 4x + 16`

Required

Determine AM

Since M is the midpoint, we have that;

`AM = MB`

Substitute values for AM and MB

`5x + 10 = 4x + 16`

Collect Like Terms

`5x - 4x = 16 - 10`

`x = 6`

To solve for AM; substitute 6 for x in
`AM = 5x + 10`

`AM = 5 * 6 + 10`

`AM =30 + 10`

`AM =40`