Answer:
JK = 7
Explanation:
Given that point J is on line segment IK , then
IJ + JK = IK ( substitute values ) and solve for x
3x - 5 + 2x - 1 = 3x + 2 ( collect like terms on left side )
5x - 6 = 3x + 2 ( subtract 3x from both sides )
2x - 6 = 2 ( add 6 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Then
JK = 2x - 1 = 2(4) - 1 = 8 - 1 = 7