What is the value of x?
6.75+ x = 131

x = 497/4 = 124.250

Step-by-step explanation:

Step  1  :

           27

Simplify   ——

           4

Equation at the end of step  1  :

  27          

 (—— +  x) -  131  = 0

  4          

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

        x     x • 4

   x =  —  =  —————

        1       4  

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:

27 + x • 4     4x + 27

——————————  =  ———————

    4             4  

Equation at the end of step  2  :

 (4x + 27)    

 ————————— -  131  = 0

     4        

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

          131     131 • 4

   131 =  ———  =  ———————

           1         4  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(4x+27) - (131 • 4)     4x - 497

———————————————————  =  ————————

         4                 4    

Equation at the end of step  3  :

 4x - 497

 ————————  = 0

    4    

Step  4  :

When a fraction equals zero :

4.1    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, multiplys both sides of the equation by the denominator

Here's how:

 4x-497

 —————— • 4 = 0 • 4

   4  

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  4x-497  = 0

Solving a Single Variable Equation :

4.2      Solve  :    4x-497 = 0

Add  497  to both sides of the equation :

                     4x = 497

Divide both sides of the equation by 4:

                    x = 497/4 = 124.250

One solution was found :

                  x = 497/4 = 124.250

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distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.