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dimaraw [331]
3 years ago
10

Solve by Substitution: 3x - y = 4 y = 6 - 2x

Mathematics
1 answer:
atroni [7]3 years ago
4 0
Substitute 6 - 2x for y in the first equation

3x - (6 - 2x) = 4

5x - 6 = 4

5x = 10

x = 2

Plug 5 for x in either equations (I'll use the second equation)

y = 6 - 2 * 2

y = 6 - 4

y = 2

(2,2) is the solution.
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Answer:

4512.

Step-by-step explanation:

We are asked to find the number of five-card hands (drawn from a standard deck) that contain exactly three fives.

The number of ways, in which 3 fives can be picked out of 4 available fives would be 4C3. The number of ways in which 2 non-five cards can be picked out of the 48 available non-five cards would be 48C2.

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Therefore, 4512 five card hands contain exactly three fives.

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3 years ago
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