Easy 10 points, help solve this equation please and steps(Geometry)
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Easy 10 points, help solve this equation please and steps(Geometry)

[From: ] [author: ] [Date: 11-09-08] [Hit: ]
K is the midpoint of JL. JK = 4x-2, and JK = 7. Find x, KL, and JL.......
So this one is confusing me. I have done all the others, but obviously I'm not that great with these, I need more practice. Anyways, here is the equation:
It's multi-step. K is the midpoint of JL. JK = 4x-2, and JK = 7. Find x, KL, and JL.

Can anybody show me the steps of how to solve this ? Please and thank you, easy 10 points.

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If K is the midpoint of JL, that means JK = KL (since the midpoint marks the exact middle of the segment).

if JK = 4x - 2, and JK = 7, we can say that 4x - 2 = 7, since JK is obviously equal to itself.

Solve for x:
4x - 2 = 7
4x = 9
x = 9/4

Then JK = 7, x = 9/4, and KL = 7 (since we said JK = KL)

JL is JK + KL.
7 + 7 = 14.

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J______________K_____________L
=4x-2
=7


so if k is the midpoint and JK=4x-2 and JK=7 then you can solve for x by setting 4x-2=7....now add 2 to both sides to get....4x=9...now divide by 4 both sides to get.....x=9/4

If K is midpoint of JL then you know KL must be the same as JK. At a midpoint both sides are the same length. You already know that JK =7 so KL must equal 7 as well.

Now JL must equal 14 because you added both JK and KL(7+7=14)

Hope this helps!

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x = 2.25, KL = 7, JL = 14
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