Question

Solve and Check your answer for 2/5y-5/8y=5/12​

Answer 1

Answer:

-50/27

Step-by-step explanation:

2y/5 - 5y/8 = 5/12

16y - 25y / 40 = 5/12

-9y = 40 * 5 / 12

-9y = 50 / 3

y = -50 / 27

Answer 2

Answer:

The value of $y$ is $-\frac{25}{18}$. The answer given is nor correct for the value of $y$.

Step-by-step explanation:

Given : The given expression is $\frac{2}{5}y-\frac{5}{8} y=\frac{5}{12}$

To find : Solve the above expression and check whether the given answer is right or wrong.

Solution :

• The given expression is $\frac{2}{5}y-\frac{5}{8} y=\frac{5}{12}$.
• We have to find that the given answer is right or wrong.
• To find this, we have to solve the given expression.
• The given expression is,

        $\frac{2}{5}y-\frac{5}{8} y=\frac{5}{12}$

• First, take out $y$ as a common, we get

        $y(\frac{2}{5} -\frac{5}{8} )=\frac{5}{12}$

• Doing cross multiplication, we get

       ∴  $y(\frac{2*8-5*5}{5*8} )= \frac{5}{12}$

            ∴ $y(\frac{16-25}{40} )=\frac{5}{12}$

                  ∴ $\frac{-9}{40} y=\frac{5}{12}$

                      ∴ $y=\frac{5}{12} *-\frac{40}{9}$

                      ∴ $y=-\frac{200}{144}$

                      ∴ $y=-\frac{25}{18}$

• ∴ The value of $y$ is $-\frac{25}{18}$.
• Now, to check the answer, we have to put $y=-\frac{25}{18}$ in the given expression.

            $\frac{2}{5}y-\frac{5}{8} y=\frac{5}{12}$

           $\frac{2}{5} *(-\frac{25}{18})-\frac{5}{8}(-\frac{25}{18})=\frac{5}{12}$

                   ∴  $-\frac{50}{90}+\frac{125}{144} = \frac{5}{12}$

               ∴ $\frac{-50*144+90*125}{90*144} = \frac{5}{12}$

                   ∴ $\frac{-7200+11250}{12960} = \frac{5}{12}$

                          ∴ $\frac{4050}{12960} = \frac{5}{12}$

• Reducing the left side of the expression, we get

                             ∴ $\frac{15}{16} \neq \frac{5}{12}$

• ∴ The value of $y$ is $-\frac{25}{18}$. The answer given is nor correct for the value of $y$.