8/5x - 2/3x = 4/15
hello!would be

x = 2/7 = 0.286

Step-by-step explanation:

One solution was found :

                  x = 2/7 = 0.286

Rearrange:

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

                    8/5*x-2/3*x-(4/15)=0  

Step by step solution :

Step  1  :

            4

Simplify   ——

           15

Equation at the end of step  1  :

   8     2      4

 ((—•x)-(—•x))-——  = 0  

   5     3     15

Step  2  :

           2

Simplify   —

           3

Equation at the end of step  2  :

   8          2           4

 ((— • x) -  (— • x)) -  ——  = 0  

   5          3          15

Step  3  :

           8

Simplify   —

           5

Equation at the end of step  3  :

   8         2x      4

 ((— • x) -  ——) -  ——  = 0  

   5         3      15

Step  4  :

Calculating the Least Common Multiple :

4.1    Find the Least Common Multiple  

     The left denominator is :       5  

     The right denominator is :       3  

       Number of times each prime factor

       appears in the factorization of:

Prime  

Factor   Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

5101

3011

Product of all  

Prime Factors  5315

     Least Common Multiple:  

     15  

Calculating Multipliers :

4.2    Calculate multipliers for the two fractions  

   Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

  Left_M = L.C.M / L_Deno = 3

  Right_M = L.C.M / R_Deno = 5

Making Equivalent Fractions :

4.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.  

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      8x • 3

  ——————————————————  =   ——————

        L.C.M               15  

  R. Mult. • R. Num.      2x • 5

  ——————————————————  =   ——————

        L.C.M               15  

Adding fractions that have a common denominator :

4.4       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:

8x • 3 - (2x • 5)     14x

—————————————————  =  ———

       15             15  

Equation at the end of step  4  :

 14x     4

 ——— -  ——  = 0  

 15     15

Step  5  :

Adding fractions which have a common denominator :

5.1       Adding fractions which have a common denominator

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

14x - (4)     14x - 4

—————————  =  ———————

   15           15    

Step  6  :

Pulling out like terms :

6.1     Pull out like factors :

  14x - 4  =   2 • (7x - 2)  

Equation at the end of step  6  :

 2 • (7x - 2)

 ————————————  = 0  

      15      

Step  7  :

When a fraction equals zero :

7.1    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:

 2•(7x-2)

 ———————— • 15 = 0 • 15

    15    

Now, on the left hand side, the  15  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2  •  (7x-2)  = 0

Equations which are never true :

7.2      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

7.3      Solve  :    7x-2 = 0  

Add  2  to both sides of the equation :  

                     7x = 2  

Divide both sides of the equation by 7:

                    x = 2/7 = 0.286  

One solution was found :

                  x = 2/7 = 0.286

4+n=5

step-by-step explanation:

this is because the four is four hours and the n represents the 1 extra hour over the weekend.

b= i'm srry i don't know that one.

4+n=5 n=1 because if vernon plays 5 hours a week then 4+1=5 hours.

hope this : )

step-by-step explanation:

answers available in this download

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