how do i solve x+1 over x =6

Question

how do i solve x+1 over x =6

Answer 1

To "solve" means to find the value of x.  That means that you must isolate x on one side of an equation and a constant value on the other side.

 

    (x+1) / x = 6                    [this has divide, so multiply (opposite operation) both sides by x]

    x + 1 = 6x                       [this has addition, so subtract (opposite operation) 1 from both sides]

     x = 6x - 1                      [to get x on left side, subtract 6x from both sides]

    -5x = -1                       [unary minus; divide both sides by -5]

      x  =  1/5     

 

Checking (very important):

  Is   ((1/5)+1 ) / (1/5)  =  6   ?

         (1/5 + 5/5) / (1/5) = 6   ?

            (6/5) / (1/5)  =  6   ?

            (6/5) * (5/1)  = 6   ?

                  6  =  6   ? yes

Answer 2

Okay, if we have (x+1)/ x, we need to multiply both sides by x to get the x out of the bottom.  Then, we have x+1 = 6x

 

Subtract x from both sides: 1=5x.  Divide both sides by 5.  x=1/5

 

x =1/5