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Eddi Din [679]
3 years ago
11

Solve the system of equations system

Mathematics
2 answers:
Korolek [52]3 years ago
8 0

Answer:

(3, 3 )

Step-by-step explanation:

Given the 2 equations

3x - y = 6 → (1)

6x + y = 21 → (2)

Adding the 2 equations term by term will eliminate y, that is

(6x + 3x) + (y - y) = (21 + 6), that is

9x = 27 (divide both sides by 9 )

x = 3

Substitute x = 3 into either (1) or (2) and solve for y

Using (2), then

(6 × 3) + y = 21

18 + y = 21 ( subtract 18 from both sides )

y = 3

Solution is (3, 3 )

dedylja [7]3 years ago
4 0

Answer:

(3,3)

Step-by-step explanation:

6x+y=21

6x+3x-6=21

9x-6=21

9x-6+6=21+6

9x=27

9x/9   27/9

x=3

y=3x-6

y=(3)(3)-6

y=3

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Answer:

360 degrees in total.

Step-by-step explanation:

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3 years ago
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 2 of 2 :
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Answer:

The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

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The upper limit of this interval is:

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