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Evgesh-ka [11]
3 years ago
6

You are given the system of equations to solve by the elimination method, which is an INCORRECT step that will NOT produce a sys

tem with the same solution? 5x + 3y = 5 8x + 2y = 6
Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

See explanation for the incorrect step.

Step-by-step explanation:

The steps for solving simultaneous equations by elimination method are;

  • Naming the equations (i) and (ii)
  • Multiplying each equation by a suitable number so that the two equations have the same leading coefficients
  • Subtracting the second equation (ii) from the first equation (i)
  • Solving the new equation for value of x or y
  • Substituting the value of x or y in equation (i) or (ii)
  • Getting the solutions

In this case, the equations are;

5x+3y=5-------------- (i)

8x+2y=6-------------- (ii)

--------------multiplying equation (i) by 2 and (ii) by 3

10x+6x=10

24x+6y=18

-------------------performing subtraction

14x=8 --------divide both sides by 14 to remain with x

14x/14 =8/14

x=8/14 = 4/7

Substitute value of x in equation (i)

5(4/7) +3y =5

20/7 +3y =5 -------collect like terms

3y= 5- 20/7

3y=15/7

y=5/7

Learn More

Elimination Method :brainly.com/question/11962747

Keywords: system, equations,elimination method, incorrect,step,solution

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

-7-6i and -12+2i

Treat it as a polynomial. We all know that i=square root of -1, but in this case, treat it as a polynomial.

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So 5-8i

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The intersection of any two disjoint sets is a null set. Justify your answer.​
Ne4ueva [31]

Answer:

Yes The intersection of any two disjoint sets is a null set

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Step-by-step explanation:

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At one time during 2001 for every 20 copies of Harry Potter and the Sorcerer's Stone that were sold 13.2 copies of Harry Potter
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In order to solve this, you have to take the number of copies of the Prisoner of Azkaban and divide it by the number of copies of the Sorcerer's Stone:
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The dwarves of the Grey Mountains wish to conduct a survey of their pick-axes in order to construct a 99% confidence interval ab
Dmitry_Shevchenko [17]

Answer:

The minimum sample size needed is 125.

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}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

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

For this problem, we have that:

\pi = 0.25

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

What minimum sample size would be necessary in order ensure a margin of error of 10 percentage points (or less) if they use the prior estimate that 25 percent of the pick-axes are in need of repair?

This minimum sample size is n.

n is found when M = 0.1

So

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

0.1 = 2.575\sqrt{\frac{0.25*0.75}{n}}

0.1\sqrt{n} = 2.575{0.25*0.75}

\sqrt{n} = \frac{2.575{0.25*0.75}}{0.1}

(\sqrt{n})^{2} = (\frac{2.575{0.25*0.75}}{0.1})^{2}

n = 124.32

Rounding up

The minimum sample size needed is 125.

5 0
3 years ago
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