Math, asked by sidhukirandeep, 11 months ago

Factorise: 3y-1/2=5/2+y​

Answers

Answered by Anonymous
1

Answer:

Step-by-step explanation:

3y-1/2=5+2y/2

3y-1=5+2y

3y-2y=5+1

y=6

Answered by gaurirohatgi87
2

Answer:

Step  1  :

                5

Simplify   —

                2

Equation at the end of step  1  :

           1      5    

 (3y -  —) -  (— +  y)  = 0  

           2      2    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  2  as the denominator :

           y             y • 2

   y =  —  =  —————

           1                2  

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:

5 + y • 2                        2y + 5

—————————  =  ——————

    2                                     2    

Equation at the end of step  2  :

          1             (2y + 5)

 (3y -  —) -  ————————  = 0  

           2                  2    

Step  3  :

           1

Simplify   —

           2

Equation at the end of step  3  :

           1                (2y + 5)

 (3y -  —) -  ————————  = 0  

           2                   2    

Step  4  :

Rewriting the whole as an Equivalent Fraction :

4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

              3y            3y • 2

    3y =  ——  =  ——————

                1                2    

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

3y • 2 - (1)                                   6y - 1

————————————  =  ——————

     2                                                2

Equation at the end of step  4  :

      (6y - 1)                      (2y + 5)

 ———————— -  ————————  = 0  

            2                                2    

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:

(6y-1) - ((2y+5))             4y - 6

————————  =  ——————

        2                             2    

Step  6  :

Pulling out like terms :

6.1     Pull out like factors :

  4y - 6  =   2 • (2y - 3)  

Equation at the end of step  6  :

 2y - 3  = 0  

Step  7  :

Solving a Single Variable Equation :

7.1      Solve  :    2y-3 = 0  

Add  3  to both sides of the equation :  

                     2y = 3

Divide both sides of the equation by 2:

                    y = 3/2 = 1.500

One solution was found :

                  y = 3/2 = 1.500

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