How do i do this question?

Question

HJ = 2x + 1/3

JK = 5x + 2/3

KH = 12x - 4

Answer 1

Hi Teri P.,

I assume this line segment drawing accompanied your problem.

H......................J...................................K

Then we have:

H.......................J..................................K

|<----2x+1/3---->|<-------5x+2/3------>|

|<-------------------12x-4------------------->|

Therefore:

HJ + JK = KH

(2x + 1/3) + (5x + 2/3) = 12x - 4

2x + 5x + 1/3 + 2/3 = 12x - 4 ......(rearrange the like terms)

7x + 1 = 12x - 4 ...........................(add 2x + 5x = 7x and add 1/3 + 2/3 = 1)

-7x .........-7x ................................(subtract 7x from both sides)

.

1 = 5x - 4 .....................................(result)

+4.....+4 .......................................(add 4 to both sides)

5 = 5x ..........................................(result)

÷5...÷5 .........................................(divide both sides by 5)

1 = x ............................................(answer)

Have fun! I hope this helps, Joe.