What algebraic expression represents GK, if GK =37, what are GH and JK. GJ=4x+2 and HK=6x-1
       
      
                
     
    
    
    
    
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Answer:
The answer is "GK=37, GH=14, and JK=19 ".
Step-by-step explanation:
In the question, an attachment file is missing.so, please find its attached file.
Given values:
GJ=4x+2
HK=6x-1
GK =37
Find: 
HJ=?
GK = GJ+JK
      = GJ+(HK-HJ)
      = 4x+2+((6x-1)-x)
      = 4x+2+6x-1-x
      =  
9x+1...(a)
Solve equation (a) and put the value of x in the equation:
       =9(4)+1 
        =36+1 
        =37
find GH and JK=?
Given:
 GK=37
Formula:  
GH = GJ-HJ
       = 4x+2- x
       = 3x+2....(b)
Solve equation (a):
GK= 9x+1 
37=9x+1
36=9x
x=4....(c)
put the value of equation (b) in equation (c)
GH = 3x+2
       = 3(4)+2
       = 12+2 
       = 14
Formula:
JK= HK-HJ
     = 6x-1- x
     = 5x-1
put the value of x in the above equation:
      = 5(4)-1 
      = 20-1
      =19
 
                                
             
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