Question

Solve for s

`-(11s-4)/(8)=5`

Answer 1

Hey ! there

Answer:

• Value of s is -36 / 11 .

Explanation:

In this question we are provided with an equation that is -( 11s - 4 ) / ( 8 ) = 5 . And we are asked to solve the equation for value of s .

Solution : -

`\quad\longrightarrow \qquad \: \frac { - (11s - 4)}{8} = 5`

Step 1 : Multiplying with 8 on both sides :

`\quad\longrightarrow \qquad \: \frac{( - 11s - 4)}{ \cancel{8} } * \cancel {8} = 5 * 8`

Simplifying it ,

`\quad\longrightarrow \qquad \: - (11s - 4) = 40`

Step 2 : Dividing with -1 on both sides :

`\quad\longrightarrow \qquad \: \frac{ \cancel{- }(11s - 4)}{ \cancel{- }1} = (40)/( - 1)`

We get ,

`\quad\longrightarrow \qquad \:11s - 4 = - 40`

Step 3 : Adding 4 on both sides :

`\quad\longrightarrow \qquad \:11s - \cancel{4 }+ \cancel{4} = - 40 + 4`

On further calculations , We get :

`\quad\longrightarrow \qquad \:11s = - 36`

Step 4 : Dividing with 11 on both sides :

`\quad\longrightarrow \qquad \: \frac{ \cancel{11}s}{ \cancel{11}} = ( - 36)/(11)`

Here we get ,

`\quad\longrightarrow \qquad \: \orange{\underline{\boxed{ \frak{s = ( - 36)/(11)}}}}`

Verifying : -

Now we are verifying our answer whether it is wrong or correct . So ,

• - ( 11s - 4 ) / 8 = 5

Substituting value of s :

• - ( 11 × -36/11 - 4 ) / 8 = 5

By cancelling 11 with 11 we get :

• - ( -36 - 4 ) / 8 = 5

Solving parenthesis :

• - ( -40 ) / 8 = 5

Removing parenthesis :

• 40 / 8 = 5

Now , by dividing 40 by 8 , We get :

• 5 = 5

• L.H.S = R.H.S

• Hence , Verified .

Therefore , our answer is correct .

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