please help!

 

The length of HJ equals the total of its two segments. 

 

(3x – 5) + (x – 1)  =  7x – 27 

 

                 4x – 6  =  7x – 27  

 

                       3x  =  21  

 

                         x  =  7 

_.

The two segments HI and IJ must add up to the length of the HJ. So we have the equation:

 

3x-5+(x-1)=7x-27

4x-6=7x-27

3x=21

x=7