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Leno4ka [110]
2 years ago
9

Please Help solve simultaneous equations , I never got hang of it.

Mathematics
2 answers:
tekilochka [14]2 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

(1)

a + 3b = 5 ( subtract 3b from both sides )

a = 5 - 3b → (1)

3a + 2b = 8 → (2)

Substitute a = 5 - 3b into (2)

3(5 - 3b) + 2b = 8 ← distribute and simplify left side

15 - 9b + 2b = 8

15 - 7b = 8 ( subtract 15 from both sides )

- 7b = - 7 ( divide both sides by - 7 )

b = 1

Substitute b = 1 into (1)

a = 5 - 3(1) = 5 - 3 = 2

Then a = 2 and b = 1

(2)

3m - 4n = - 14 → (1)

2m + 2n = 14 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate the n- term

4m + 4n = 28 → (3)

Add (1) and (3) term by term to eliminate n

7m + 0 = 14

7m = 14 ( divide both sides by 7 )

m = 2

Substitute m = 2 into either of the 2 equations and solve for n

Substituting into (2)

2(2) + 2n = 14

4 + 2n = 14 ( subtract 4 from both sides )

2n = 10 ( divide both sides by 2 )

n = 5

Then m = 2 and n = 5

AnnyKZ [126]2 years ago
3 0

\huge\underline\mathtt\colorbox{cyan}{ATTACHMENT}

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Using the <u>normal distribution and the central limit theorem</u>, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

Normal Probability Distribution

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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In this problem:

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The probability is the <u>p-value of Z when X = 122</u>, hence:

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By the Central Limit Theorem

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Z = \frac{122 - 140}{3}

Z = -6

Z = -6 has a p-value of 0.

Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

A similar problem is given at brainly.com/question/24663213

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(-10,2) (-5,-1) find mid point
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The Mid - point of the line segment is at coordinates -  M(- 7.5, 0.5)

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According to question, we have -

First coordinate Point -  (x_{1} ,y_{1} ) = (- 10, 2)

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Using the Mid - Point formula, we get -

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xeze [42]

Answer:

60WPM

Step-by-step explanation:

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3 years ago
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