KL = 8x-5 and LM = 6x+3

KL = LM To find the measures of KL

8x-5 = 6x+3

-6x - 6x 8 (4) - 5

___ ___ 32 - 5

2x - 5 = 3 27

+5 + 5

__ __ To find the measure of LM

2x = 8 6 (4) + 3

- - - - - - 24 + 3

x = 4 27

The answer is x=4.

set the equations up: 8x-5=6x-3

Subtract 6x from one side and then the other side 2x-5=3

Add 5 from one side and then the other 2x=8

Divide 2 on each side which gets you x=4