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Anvisha [2.4K]
3 years ago
12

5-7y/2+4y equals -8/7​

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Answer:

\boxed{y = 3}

Step-by-step explanation:

=  > \frac{5 - 7y}{2 + 4y}  =  -  \frac{8}{7}  \\  \\  =  > 7(5 - 7y) =  - 8(2 + 4y) \\  \\  =  > (7 \times 5) - (7 \times 7y) = ( - 8 \times 2) + ( - 8 \times 4y) \\  \\  =  > 35 - 49y =  - 16  - 32y \\  \\  =  > 35 - 49y + 32y =  - 16 \\  \\  =  > 35 - 17y =  - 16 \\  \\  =  - 17y =  - 16 - 35 \\  \\  =  >   \cancel{- }17y =  \cancel{- } 51 \\  \\  =  > 17y = 51 \\  \\  =  > y =  \frac{51}{17}  \\  \\  =  > y = 3

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Answer:

8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240

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Step-by-step explanation:

Consider the pattern:

8(5)=10(5-1)=40

8(5) + 8(25) = 10(25 - 1) =240

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Checking whether conjecture is correct or not:

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8(5) + 8(25) + 8(125) + 8(625) +8(3125)

40+200+1000+5000+25000

31240

R.H.S:

31240

Hence proved Conjecture is correct

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