if m is the midpoint of segment ab, and segment am measures 4x-14/5, and mb measures 2x-4/5, what is the value of x?

Answer 1

4x-14/5=2x-4/5

_2x=14/5-4/5

_2x=2

_x=1

Answer 2

Segment AM is equal to segment MB since M is a midpoint. To find x, you need to set the two expressions equal to one another and then solve that equation.

(4x-15)/5=(2x-4)/5

Multiply both sides by 5 to get:

4x-15=2x-4

Add 15 to both sides to get:

4x=2x+11

Subtract 2x from both sides to get:

2x=11

Divide both sides by 2 to get:

x=(11/2) or x=5.5

Answer 3

Since m is the midpoint, segment am must equal segment mb

Therefore:

am = mb or

(4x-14)/5 = (2x - 4)/5

Eliminate the denominator by multiplying both sides by 5, this gives

4x - 14 = 2x - 4

Solve for x.

2x - 14 = -4

2x = 10

x = 5