Question

Which steps can be used to solve for the value of y? 2/3 (y+57) = 178

Answer 1

Answer:

Step  1  :

                 2

Simplify   —

                 3

Equation  :

  2                

 (— • (y + 57)) -  178  = 0  

  3                

Equation   :

 2 • (y + 57)    

 ———————————— -  178  = 0  

      3          

Rewriting the whole as an Equivalent Fraction :

   Subtracting a whole from a fraction  

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

          178     178 • 3

   178 =  ———  =  ———————

           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

      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:

2 • (y+57) - (178 • 3)     2y - 420

——————————————————————  =  ————————

          3                   3      

 Pull out like factors :

  2y - 420  =   2 • (y - 210)  

Equation at the end of step  4  :

 2 • (y - 210)

 —————————————  = 0  

       3      

Step  5  :

When a fraction equals zero :

   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•(y-210)

 ————————— • 3 = 0 • 3

     3    

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2  •  (y-210)  = 0

Equations which are never true :

   2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

    Solve  :    y-210 = 0  

Add  210  to both sides of the equation :  

                     y = 210  

One solution was found :

                  y = 210

Step-by-step explanation:

Answer 2

Answer:

y=178

(2/3)(y)+(23)(57)=178