Math, asked by QHM1, 1 year ago

2+(2x-3)/(2x+3)=(3x+5)/(x+5)

Answers

Answered by Anonymous
3
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 <marquee > refer to the attachment

@ Prabhudutt....
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Inflameroftheancient: Excellent, Answer..!!!
SillySam: Hey it should be 6x+3
SillySam: 6-3=3
Anonymous: wait ... lemme edit
SillySam: ☺☺
Anonymous: hmm ... check it now
SillySam: ✌✌✌☺☺
Answered by SillySam
5
Heya mate,Here is ur answer

2  +  \frac{2x  - 3}{2x + 3}  =  \frac{3x + 5}{x + 5}

 \frac{2(2x + 3) + 2x - 3}{2x + 3}  =  \frac{3x + 5}{x + 5}


 \frac{4x + 6 + 2x - 3}{2x + 3}  =  \frac{3x + 5}{x + 5}


 \frac{6x + 3}{2x + 3}  =  \frac{3x + 5}{x + 5}

Cross multiplying

x + 5(6x + 3) = 2x + 3(3x + 5)

6 {x}^{2}  + 3x + 30x + 15 = 6 {x}^{2}  + 10x + 9x + 15


6 {x}^{2}  + 33x + 15 = 6 {x}^{2}  + 19x + 15


Transposing like terms a side

6 {x}^{2}  - 6 {x}^{2}  + 33x - 19x = 15 - 15

14x=0

x =  \frac{0}{14}

x = 0

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@Laughterqueen

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Inflameroftheancient: Great Answer!
SillySam: Thanks sir
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