Question

solve 5(Y+8)=9(Y-4)
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Answer 1

☞ Answer

$5(y + 8) = 9(y - 4)$

$5y + 40 = 9y - 36$

$40 + 36 = 9y - 5y$

$76 = 4y$

$y = 19 \: \: answer...$

☞ ☺️

Answer 2

Solve the equation :-

$\sf Q) \: 5 \: (y + 8) = 9 \: (y - 4)$

Removing the brackets,

$\sf \Rightarrow5y + 40 = 9y - 36$

Putting the constants and the variables on different sides and changing their sign,

$\sf \Rightarrow5y - 9y = - 36 - 40$

On simplifying,

$\sf \Rightarrow- 4y = - 76$

Transposing 4 from LHS to RHS, changing it's sign,

$\sf \Rightarrow y = \dfrac{ - 76}{ - 4}$

Dividing - 76 by -4,

$\sf \Rightarrow y = 19.$

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Verification :-

To check our answer, we have to put 19 in place of y and see whether LHS = RHS.

Putting 19 in place of y,

LHS

$\sf \Rightarrow 5 \: (19 + 8)$

Removing the brackets,

$\sf \Rightarrow95 + 40$

Adding the two numbers,

$\sf \Rightarrow135.$

RHS

$\sf \Rightarrow9 \: (19 - 4)$

Removing the brackets,

$\sf \Rightarrow171 - 36$

Subtracting the two numbers,

$\sf \Rightarrow135.$

Since LHS = RHS,

Hence verified!

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