Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "13.71" was replaced by "(1371/100)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     10*c-((1371/100))=0 

Step by step solution :

Step  1  :

            1371
 Simplify   ————
            100 

Equation at the end of step  1  :

         1371
  10c -  ————  = 0 
         100 

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  100  as the denominator :

            10c     10c • 100
     10c =  ———  =  —————————
             1         100   

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 2.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 10c • 100 - (1371)     1000c - 1371
 ——————————————————  =  ————————————
        100                 100     

Equation at the end of step  2  :

  1000c - 1371
  ————————————  = 0 
      100     

Step  3  :

When a fraction equals zero :

 3.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

  1000c-1371
  —————————— • 100 = 0 • 100
     100    

Now, on the left hand side, the  100  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   1000c-1371  = 0

Solving a Single Variable Equation :

 3.2      Solve  :    1000c-1371 = 0 

 Add  1371  to both sides of the equation : 
                      1000c = 1371
Divide both sides of the equation by 1000:
                     c = 1371/1000 = 1.371

One solution was found :