Question

M is the midpoint of AB. AM is 6x and AB is 10x+12

Answer 1

there is no solution

Explanation:

|<-----------10x + 12------------->|

A--------------M-------------------B

6x 4x

find x

AM + MB = AB

6x + 4x = 10x + 12

combine similar terms:

6x + 4x - 10x = 12

simplify:

0 = 12

the sides are not equal

0 ≠ 12

therefore, there is no solution

Answer 2

ANSWER: X= 6
EXPLANATION: We know that AM = 6x and AM is half of AB so if we multiply 6x times 2 we get 12x. Which mean 12x= AB
We also know that AB= 10x + 12 so if both 10x + 12 and 12x equal AB we have to set them equal to each other to find out what x is
10x + 12= 12x
First subtract 12 on both sides then it should look like 10x= 12x - 12
Now subtract 12x from 10x and it should look like -2x= -12
Lastly divide everything by -2 and you get x= 6
hope this helps!!!! And I didn’t know if you needed the explanation but I just wrote it anyways