Question

solve the following equation and check the answer 13(y-4)-3(y-9)=5(y+4)

Answer 1

$\huge\mathbb{Answer \ :-}$
$<b>$
Given :-

13(y - 4) - 3(y - 9) = 5(y + 4)

Opening the bracket.

13y - 52 - 3y + 27 = 5y + 20

13y - 3y - 5y = 20 + 52 - 27

13y - 8y = 72 - 27

5y = 45

y = 9

$\huge\tt{Explaination \ :-}$
$<b>$
L.H.S. = 13(y - 4) - 3(y - 9)

=> 13(9 - 4) - 3(9 - 9)

=> 13 × 5 - 3 × 0

=> 65

R.H.S. = 5(y + 4)

=> 5(9 + 4)

=> 5 × 13

=> 65

L.H.S. = R.H.S.

Hence verified.

$\huge\mathfrak{Hope \ this \ helps.}$

Answer 2

Hi there !

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Solution :

$\mathsf{13(y - 4) - 3(y - 9) = 5(y + 4)} \\ \\ \implies{ \mathsf{13y - 52 - 3y + 27 = 5y + 20}} \\ \\ \implies{ \mathsf{10y - 25 = 5y + 20 }} \\ \\ \implies{ \mathsf{ 10y - 5y = 20 + 25}} \\ \\ \implies{ \mathsf{ 5y = 45}} \\ \\ \implies{ \mathsf{y = \frac{45}{5} }} \\ \\ \boxed{\bold{\therefore{ \mathsf{ y = 9}}}}$


$\underline{\bold{Verification :}}$

Putting the value of y = 9.

$\mathsf{13(9 - 4) - 3(9 - 9) = 5(9 + 4)} \\ \\ \implies{ \mathsf{117 - 52 - 27 + 27 = 45 + 20}} \\ \\ \implies{ \mathsf{ 144 - 79 = 65}} \\ \\ \implies{ \mathsf{65 = 65}}$


Hence, LHS = RHS.
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Therefore,

The value of y is 9.

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Thanks for the question. !

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