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Pachacha [2.7K]
3 years ago
15

-5x +3y = 6 x - y = 4 the solution

Mathematics
1 answer:
solniwko [45]3 years ago
8 0
You can use the substitution method.
Let's choose the second equation in terms of y (which is much easier),
-y = 4 - x
y = -4 + x
y = x - 4

Substitute this to the first equation to get the value of x.
-5x + 3(x - 4) = 6
-5x + 3x - 12 = 6
-2x = 6 + 12
-2x = 18
x = -9

Substitute it to the first equation that we have used.
y = -9 - 4 = -13
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krok68 [10]

Answer:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

Step-by-step explanation:

Let A and B events. We have defined the probabilities for some events:

P(A') =\frac{68}{73} , P(B) =\frac{21}{73} , P(A \cap B) =\frac{1}{73}

Where A' represent the complement for the event A

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

So for this case we can solve for P(A) like this:

P(A) = 1-P(A') = 1-\frac{68}{73}=\frac{5}{73}

And now we can find P(A \cup B) using the total probability rul given by:

P(A \cup B) = P(A)+P(B) -P(A \cap B)

And if we replace the values given we got:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

And that would be the final answer.

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