K is between J and L

Question

K is between J and L, JL=107,KJ= 2x+4 and KL=3x+3. Solve for x

Answer 1

The length of JK plus the length of KL equals the length of JL so:

JK + KL = JL

Since JL = 107 and JK = 2x + 4 and KL = 3x + 3 then:

(2x + 4) + (3x + 3) = 107 [Now combine like-terms to get:

5x + 7 = 107 [Now subtract 7 from both sides to get:

5x = 100 [Now divide both sides by 5 to get:

x = 20