Math, asked by pubgprani, 6 months ago


2y + 3 \div 3y + 2 = 4y + 5 \div 6y + 7 \\

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Answered by Saaad
1

\huge\purple{Required \: Answer :}

 \frac{2y + 3}{3y + 2}  =  \frac{4y + 5}{6y + 7}  \\ 2y + 3(6y + 7) = 4y + 5(3y + 2) \\ 2y(6y + 7) + 3(6y + 7) = 4y(3y + 2)  + 5(3y + 2) \\ 12 {y}^{2}  + 14y + 18y + 21 = 12 {y}^{2}  + 8y + 15y + 10 \\   \:  \: 12 {y}^{2}  + 32y + 21 = 12 {y}^{2}  + 23y + 10  \\ 32y - 23y + 21 - 10 = 12 {y}^{2}  - 12 {y}^{2}  \\ 9y + 11 = 0 \\ 9y =  - 11 \\ y =  \frac{ - 11}{9}

\huge\sf\implies{Thanks : ❤}

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