If LM = X+6, MN = 3 x +5, and LN = 5x + 10, find LN.

LN = 15

Explanation:

We know that LM + MN = LN so we will just right the equations that way.

x + 6 + 3x + 5 = 5x + 10 (collect like terms)

4x + 11 = 5x + 10 ( subtract 4x on both sides)

11 = x + 10 ( subtract 10 on both sides)

1 = x

(Plug in)

LM = 1 + 6

MN = 3(1) + 5

LN = 5(1) + 10

1 + 6 + 3(1) + 5 = 5(1) + 10

15 = 15

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