Math, asked by blackordergaming0, 7 months ago

2x/3 + 5x/6 = 8x/9 - 77/6​

Answers

Answered by shreeyasuligavi
1

Answer:

x= -21

Step-by-step explanation:

5x+77/6=8x/9-2x/3

5x+77/6=8x-6x/9    [lcm of 9 and 3 is 9]

5x+77/6=2x/9

9(5x+77)=2x×6   [cross multiplication]

45x+693=12x

45x-12x= -693

33x= -693

x= -693/33

x= - 21

hope it helps u, plzz mark me as the brainliest

Answered by Anonymous
3

Answer:

-21

Step-by-step explanation:

 \frac{2x}{3}  +  \frac{5x}{6}  =  \frac{8x}{9}  -  \frac{77}{6}  \\  \\  =  >  \frac{2x}{3}  +  \frac{5x}{6}  -  \frac{8x}{9}  =  -  \frac{77}{6}  \\  \\  =  >  \frac{(6 \times 2x) + (3 \times 5x)  - (2 \times 8x) }{18}  =  - \frac{ 77}{6}   \\  \\  =  >  \frac{12x + 15x - 16x}{18}  =  - \frac{ 77}{6} \\  \\  =  \frac{11x}{ 3 \:  \: \cancel18 }  =  - \frac{ 77}{ 1 \:  \: \cancel6} \\  \\  =  >  \frac{11x}{3}  =  \frac{ - 77}{1}  \\  \\  =  > 11x \times 1 =  - 77 \times 3 \\  \\  =  > x =  \frac{  7  \:     - \cancel77 \times 3}{ \cancel 11}  \\  \\  =  > x =  - 21

HOPE IT HELPS YOU

THANKS

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