Question

4-2y/3=3/4 -54/6 solve the equation​

Answer 1

Answer:

The value of $y$ is $18.375$.

Step-by-step explanation:

Given : The equation is $4-\frac{2y}{3} =\frac{3}{4} -\frac{54}{6}$

To find : The value of $y$.

Solution :

• It is given that the equation is $4-\frac{2y}{3} =\frac{3}{4} -\frac{54}{6}$.
• We have to find the value of $y$.

• To find the value of $y$, we have to simplify the given equation in the following way.      

• ∴ The given equation is,

       $4-\frac{2y}{3} =\frac{3}{4} -\frac{54}{6}$

• In the addition or subtraction of two fractional numbers, if the denominator of both the numbers is not same, then we have to do cross multiplication.
• By cross multiplication, we get

        ∴ $4-\frac{2y}{3}=\frac{3*6-54*4}{4*6}$

        ∴ $4-\frac{2y}{3} = \frac{18-216}{24}$

         ∴ $4-\frac{2y}{3} = -\frac{198}{24}$

              ∴ $-\frac{2y}{3} = -\frac{198}{24} -4$

• Again,by cross multiplication, we get

              ∴ $-\frac{2y}{3} = \frac{-198*1-4*24}{24}$

                       = $\frac{-198-96}{24}$

                  ∴    $y$ = $\frac{-294}{24} *\frac{-3}{2}$

                    ∴ $y$ = $\frac{882}{48}$

                    ∴  $y$ = $18.375$

• ∴ The value of $y$ is $18.375$.