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Murljashka [212]
3 years ago
15

-5x+2y=6 -x+2y=-2 what is the solution to the system of equations?

Mathematics
1 answer:
dybincka [34]3 years ago
7 0

Step-by-step explanation:

- 5x + 2y = 6 \\ - x + 2y =  - 2 \\  \\  - 5x + 2y - ( - x + 2y) = 6 - ( - 2) \\  - 5x + 2y + x - 2y = 6 + 2 \\  - 4x = 8 \\  \frac{ - 4x}{ - 4}  =  \frac{8}{ - 4 }  \\ x =  (- 2) \\  \\  -5x + 2y =  6 \\  - 5 \times  - 2 + 2y = 6 \\ 10 + 2y = 6 \\ 2y = 6 - 10 \\ 2y =  - 4 \\  \frac{2y}{2}  =  \frac{ - 4}{2}  \\ y =  - 2 \\  now \: lets \: see \: whether \\ this \: equation \: is \: correct. \\  - x + 2y = -  2 \\ -   ( - 2) + 2 \times  - 2 = -  2 \\ 2 + 2  \times   - 2 =  - 2 \\ 2 - 4 =  - 2 \\  - 2 =  - 2 \\ yes \: this \: equation \: is \\ correct.

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Answer:

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a) consider the first song played . The probability of its being liked is 4/9.

And for second song, we have 3 liked songs and 8 remaining songs.

Hence probability of second being liked is 3/8.

Overall probability = (4/9)*(3/8) = 1/6 = 0.167 hence it is almost unusual.

b) First song being not liked is 5/9.

And for second song being not liked is 4/8.

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c) To like exactly one of them, it has 2 possibilities. First song may be liked and second song disliked = (4/9)*(5/8) = (5/18)

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