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Point M is the midpoint of the line segment LN. LM=8x+2 and MN=10x-4 solve for x and find the length is segment LM

Point M is the midpoint of the line segment LN. LM=8x+2 and MN=10x-4 solve for x and-example-1
User Pauan
by
7.9k points

1 Answer

4 votes

Answer:

x = 3


LM = 26

Explanation:

Given:


LM = 8x + 2


MN = 10x - 4

Required:

Value of x and length of segment LM

SOLUTION:

Since M is the midpoint of line segment LN, it implies that:


LM = MN


8x + 2 = 10x - 4 (substitution)

Combine like terms


2 + 4 = 10x - 8x


6 = 2x

Divide both sides by 2


(6)/(2) = (2x)/(2)


3 = x


x = 3


LM = 8x + 2

Plug in the value of x


LM = 8(3) + 2


LM = 24 + 2


LM = 26

User Mohamed Sayed
by
8.0k points

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