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disa [49]
2 years ago
7

4x-6y=17 4x+2y=21 solua

Mathematics
1 answer:
den301095 [7]2 years ago
6 0
Subtracting 4x+2y=21 from 4x-6y=17 will cancel out the x terms and result in -8y=-4. Then, dividing both sides by -8 results in y=1/2. In order to find x, plug 1/2 for y in either equation. If we use the first equation, the new equation looks like: 4x-6(1/2)=17. Multiplying -6 and 1/2 will simplify the equation to 4x-3=17. Then, adding three to both sides results in 4x=20. The last step is to divide both sides by 4 in order to get x by itself. x=5. So, the coordinate point that satisfies both equations is (5,1/2).
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Marina86 [1]

Answer:

The probability of selecting a black card or a 6 = 7/13

Step-by-step explanation:

In this question we have given two events. When two events can not occur at the same time,it is known as mutually exclusive event.

According to the question we need to find out the probability of black card or 6. So we can write it as:

P(black card or 6):

The probability of selecting a black card = 26/52

The probability of selecting a 6 = 4/52

And the probability of selecting both = 2/52.

So we will apply the formula of compound probability:

P(black card or 6)=P(black card)+P(6)-P(black card and 6)

Now substitute the values:

P(black card or 6)= 26/52+4/52-2/52

P(black card or 6)=26+4-2/52

P(black card or 6)=30-2/52

P(black card or 6)=28/52

P(black card or 6)=7/13.

Hence the probability of selecting a black card or a 6 = 7/13 ....

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Step-by-step explanation:

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Step-by-step explanation:

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