Solve for JL when K is the midpoint of segment JL, JK= 7x-26 and KL=4x+5

Answer 1

JK=KL

7x-26 = 4x+5

3x =31

x=31/3

4(31/3) +5= (124+15)/3 = 139/3

= 46 1/3=JK=KL

JL= 2JK

JL=2(46 1/3)= 92 2/3

11(31/3)-21=(341-63)/3=278/3=92 2/3

Answer 2

Hello,

Since K is the midpoint of segment JL, this means 2 things:

1. JK = KL
2. JL = JK + KL -----> JL = 7x -26 + 4x + 5 = 11x -21

1st: JK = KL so 7x - 26 = 4x + 5, solve that equation for x

then: plug the solution into the expression 11x - 21, and you will get the answer for JL.

You got this.