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Question

solve and check 3/x+4=5/x-4

Answer 1

Start by combining like terms. Subtract 3/x from both sides, and add 4 to both sides:

 

 

  3/x + 4 = 5/x - 4

 -3/x         -3/x

----------------------

           4 = 2/x - 4

          +4         +4

        -----------------

           8 = 2/x

 

Multiply both sides by x:

 

(8)*x = (2/x)*x

8x = 2

 

Divide both sides by 8:

 

(8x)/8 = 2/8

x = 1/4.

 

 

Check by substituting x=1/4 back into the original equation:

 

3/(1/4) + 4 = 5/(1/4) - 4

3*4 + 4 = 5*4 - 4

12 + 4 = 20 - 4

16 = 16.