Answer:
[tex]\Huge \boxed{21}[/tex]
Step-by-step explanation:
AM = 3x + 3
AB = 8x - 6
Point M is the midpoint of AB.
So, AM = AB/2
3x + 3 = (8x - 6)/2
Multiplying both sides by 2.
2(3x + 3) = 8x - 6
Expanding brackets.
6x + 6 = 8x - 6
Subtracting 6x from both sides.
6 = 2x - 6
Adding 6 to both sides.
12 = 2x
Dividing both sides by 2.
6 = x
Let x = 6 for the length of AM.
3(6) + 3
18 + 3
21
