Math, asked by zakeerhusenmagod, 4 months ago

35) Solve for x
 \frac{3x + 4 }{2 - 6x}  =   \frac{ - 2}{ 5}
can you please tell me it is urgent​

Answers

Answered by avinash2103
1

Answer:

1st step:- cross multiply the given equation then we will get 15x+20=-4+12x then we should take the RHS to LHS then we get 15x-12x+20+4=0 after wards we have to simplify the equation then we will get x= -8

Answered by Blossomfairy
39

\implies\sf{ \dfrac{3x + 4}{2 - 6x} =  \dfrac{ - 2}{5}  } \\  \\   \implies\sf{5(3x  + 4) =  - 2(2 - 6x)} \\  \\   \implies\sf{15x + 20 =  - 4 + 12x} \\  \\   \implies\sf{15 x - 12x =  - 4 - 20} \\  \\   \implies\sf{3x =  - 24} \\  \\   \implies\sf{x =  \dfrac{ - 24}{3} } \\  \\    \implies{\boxed{\sf{x =  - 8}}} \red \bigstar

So,the value of x is -8..

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Verification :

 \implies \sf{ \dfrac{3x + 4}{2 - 6x}  =  \dfrac{ - 2}{5} } \\   \\  \implies\sf{ \dfrac{3( - 8) + 4}{2 - 6( - 8)}  =  \dfrac{ - 2}{5} } \\  \\   \implies\sf{ \dfrac{ - 24 + 4}{2  + 48}  =  \dfrac{ - 2}{5} } \\  \\   \implies\sf{ \frac{ - 2 \cancel0}{5 \cancel0}  =   \frac{ - 2}{5} } \\  \\ \implies  \sf{ \dfrac{ - 2}{5}  =  \frac{ - 2}{5} } \\  \\  \therefore \sf \: Hence, \: Verified\:!

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