00:01
This problem tells us that point k is on the line segment jl as we see here and given that jl is 4x plus 2, kl is 5x minus 6, and jk is 3x.
00:10
We want to determine the numerical length of jk.
00:12
So we know that the entire length from j to l is represented with 4x plus 2.
00:20
And we're also told that the length of kl is 5x minus 6 and that the length of jk is 3x.
00:32
And if we want to determine the numerical length of jk, we need to figure out what x is.
00:36
And we have the ability to do that now because we know if the entire length of jl is 4x plus 2, that has to be equal to the lengths of jk plus kl, which is 3x plus 5x minus 6.
00:52
So we can use this expression, or excuse me, the equation that we have in terms of x to solve for x.
00:57
And then we can take that x value and plug in to 3x for the length of jk...