Math, asked by shradhha67, 5 months ago

9x+7/2 - (x- x-2/7) = 36 ..plzz solve this​

Answers

Answered by SoulfulStrings
54

Question :

 \sf \:  \: 9 \: x \:  +  \dfrac{7}{2} \:  -  \: (x \:  -  \dfrac{x \:  -  \: 2}{7}) \:  =  \: 36

Solution :

   \sf \:  ⇢ \: \dfrac{9 \: x \:  +  \: 2}{2} \:  \:  -  \:  \: x \:  \:   +  \:  \dfrac{x \:  -  \: 2}{7} \:  =  \: 36 \\  \\  \\  \sf \: ⇢ \:  \dfrac{9 \:  \: x \:  +  \: 7}{2} \:  +  \:  \:  \dfrac{x \:  -  \: 2}{7} \:  =  \: 36 \:  +  \: x

Now solving the question :-

 \sf  \:  ⇢ \: \dfrac{9 \: x \:  +  \: 7}{2} \:  -  \: x \:  +  \:  \dfrac{x \:  -  \: 2}{7} \:  =  \: 36 \\  \\  \\  \sf \: ⇢ \:  \dfrac{7 \: (9 \: x \:  +  \: 7) \:  -  \: 14 \: x \:   +  \: 2 \: (x \:  -  \: 2)}{14} \:  =  \: 36 \\  \\  \\  \sf \: ⇢ \:  63 \: x \:  +  \: 49 \:  -  \: 14 \: x \:  + \: 2 \: x \:  -  4 \:  =  \: 36 \:  \times  \: 14 \\  \\  \\  \sf \: ⇢ \: 65 \: x \:  -  \: 14 \: x \:  +  \: 45 \:  =  \: 36 \:  \times  \: 14 \\  \\  \\  \sf \: ⇢ \: 51 \: x \:  =  \: 504 \:  -  \: 45 \\  \\  \\  \sf \: ⇢ \: x \:  =  \:  \frac{\cancel{459}}{\cancel{51}} \\  \\  \\  \sf \: ⇢ \:  \small\boxed{\frak{\pink{x \:  =  \: 9 \: \: ★}}}

Hence, solved!

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