Question

Root of 3a - 9/2= 1/3a + 5
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Answer 1

formula will use a+c -(b)

hope it helps

Answer 2

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

                     3*a*9/2-(1/3*a+5)=0 

Step by step solution :

STEP1:

1 Simplify — 3

Equation at the end of step1:

9 1 (3a • —) - ((— • a) + 5) = 0 2 3

STEP2:Rewriting the whole as an Equivalent Fraction

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  3  as the denominator :

5 5 • 3 5 = — = ————— 1 3

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:

a + 5 • 3 a + 15 ————————— = —————— 3 3

Equation at the end of step2:

9 (a + 15) (3a • —) - ———————— = 0 2 3

STEP3:

9 Simplify — 2

Equation at the end of step3:

9 (a + 15) (3a • —) - ———————— = 0 2 3

STEP4:Calculating the Least Common Multiple

 4.1    Find the Least Common Multiple

      The left denominator is :       2 

      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} 21013011 Product of all 

 Prime Factors 236

      Least Common Multiple:

      6 

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 = 2

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. 27a • 3 —————————————————— = ——————— L.C.M 6