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GrogVix [38]
3 years ago
8

Estimate the solution to the system of equations.

Mathematics
2 answers:
Katen [24]3 years ago
7 0

Answer:

The solution is: x = -1, and y = 8/3

Step-by-step explanation:

Notice that the system of equations can be easily solved via the "elimination" method, by subtracting term by term one equation from the other. Doing such will remove completely the term in "y" (since the terms in "y" are exactly equal in both equations), and leave only an equation containing "x", for which the value can be solved:

2x+3y=6\\-4x+3y=12\\\\ \\2x-(-4x)+3y-(3y)=6-12\\6x+0=-6\\x=-1

Now we use this x-value in either equation to solve for y:

8090 [49]3 years ago
5 0
The answer is x=-1 y=8/3
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Answer:

\displaystyle \frac{54}{5405}.

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This question takes 5 objects randomly out of a bag of 50 objects. The order in which these objects come out doesn't matter. Therefore, the number of unique choices possible will the sames as the combination

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\displaystyle \left( 28\atop 2\right) = 378.

Number of ways to choose 3 green candies out of a batch of 8:

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\displaystyle \left( 28\atop 2\right) \cdot \left(8\atop 3\right) = 378\times 56 = 21,168.

The probability that the 5 candies chosen out of the 50 contain 2 red and 3 green will be:

\displaystyle \frac{21,168}{2,118,760} = \frac{54}{5405}.

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