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Answer:
Step-by-step 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 : -
[tex] \quad\longrightarrow \qquad \: \dfrac { - (11s - 4)}{8} = 5[/tex]
Step 1 : Multiplying with 8 on both sides :
[tex] \quad\longrightarrow \qquad \: \dfrac{( - 11s - 4)}{ \cancel{8} } \times \cancel {8} = 5 \times 8[/tex]
Simplifying it ,
[tex] \quad\longrightarrow \qquad \: - (11s - 4) = 40[/tex]
Step 2 : Dividing with -1 on both sides :
[tex] \quad\longrightarrow \qquad \: \dfrac{ \cancel{- }(11s - 4)}{ \cancel{- }1} = \dfrac{40}{ - 1} [/tex]
We get ,
[tex] \quad\longrightarrow \qquad \:11s - 4 = - 40[/tex]
Step 3 : Adding 4 on both sides :
[tex] \quad\longrightarrow \qquad \:11s - \cancel{4 }+ \cancel{4} = - 40 + 4[/tex]
On further calculations , We get :
[tex] \quad\longrightarrow \qquad \:11s = - 36[/tex]
Step 4 : Dividing with 11 on both sides :
[tex] \quad\longrightarrow \qquad \: \dfrac{ \cancel{11}s}{ \cancel{11}} = \dfrac{ - 36}{11} [/tex]
Here we get ,
[tex] \quad\longrightarrow \qquad \: \orange{\underline{\boxed{ \frak{s = \dfrac{ - 36}{11}}}}}[/tex]
Verifying : -
Now we are verifying our answer whether it is wrong or correct . So ,
Substituting value of s :
- - ( 11 × -36/11 - 4 ) / 8 = 5
By cancelling 11 with 11 we get :
Solving parenthesis :
Removing parenthesis :
Now , by dividing 40 by 8 , We get :
Therefore , our answer is correct .
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