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K is the midpoint of JL. If JK= 8x-8 and KL= 7x-6, find JL

User Sonata
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If K is the midpoint, we know they must be of equal lengths. So we can set them equal to each other and solve for x.

8x - 8 = 7x - 6 ---> subtract 7x from both sides
x - 8 = -6 ---> add 8 to both sides
x = 2

Then to find JL, put the 2 into either equation and double it.

8(2) - 8 = 8
8*2 = 16

The length of JL = 16
User John Muchow
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