Math, asked by kusumahemanthbs, 2 months ago

solve for x = 4x+11/3-6(x-7)/7=13​

Answers

Answered by Anonymous
2

Answer : 7 ✔✔

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Solution :

 \frac{4x + 11}{3}   -  \frac{6(x - 7)}{7} = 13  \\  \\  =  >  \frac{28x + 77 - 18x + 126}{21}  = 13 \\  \\  =  >  \frac{10x + 203}{21}  = 13 \\  \\   = > 10x + 203 = 273 \\  \\  =  > 10x = 70 =  > x = 7

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I hope it will help you ☺

Fóllòw Më ❤

Answered by MrHyper
16

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 \bf \large \underline{To \: solve} :  ~~~~~~~ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\  \\  \sf  \frac{4x+11}{3}  -  \frac{6(x - 7)}{7}  = 13~~~~~~~~ \\  \\  \sf :  \implies \frac{4x+11}{3}  -  \frac{6x - 42}{7}   = 13 \:  \:  \:  \:  \: ~~~~~~~~~~~~~~~~ \\  \\   \sf  :  \implies \frac{7(4x+11)+3(6x-42)}{21} = 13 \:  ~~~~~~~~~~\\  \\  \sf :  \implies \frac{(28x+77)+(18x-126)}{21} = 13 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \sf :  \implies  \frac{(28x+18x)+(77-126)}{21}  = 13~~~~~~~~ \\  \\  \sf :  \implies 46x-49 = 21(13) \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: ~~~~~~~~~~~~~~~~~~~~ \\  \\  \sf :  \implies 46x - 49 = 273 \:  \: ~~~~~~~~ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \sf :  \implies 46x = 273 + 49  \:  \:  \:  ~~~~~~~~\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\  \\  \sf :  \implies 46x = 322 \:  \:  ~~~~~~~~\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \\  \\  \sf :  \implies x =  \frac{322}{46}  =  \color{red}{ \underline{ \boxed{ \bf 7 }}} \:  \: ~~~~~~~~~~~~~~~ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

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