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nata0808 [166]
2 years ago
13

Solve the system of equations. y+4z=0 4x+y-2z=2 -3x-3z=-9

Mathematics
2 answers:
vazorg [7]2 years ago
7 0

Answer:

  • x = 7/3
  • y = - 8/3
  • z = 2/3

Step-by-step explanation:

y + 4z = 0

4x + y - 2z = 2

____________ -

- 4x + 6z = - 2

- 4x + 6z = - 2 → times 3 → - 12x + 18z = - 6

- 3x - 3z = - 9 → times 4 → - 12x - 12z = - 36

- 12x + 18z = - 16

- 12x - 12z = - 36

______________ -

30z = 20

z = 20/30

z = 2/3

y + 4(2/3) = 0

y + 8/3 = 0

y = - 8/3

- 3x - 3z = - 9

- 3x - 3(2/3) = - 9

- 3x - 6/3 = - 9

- 3x - 2 = - 9

- 3x = - 9 + 2

- 3x = - 7

x = - 7/- 3

x = 7/3

antoniya [11.8K]2 years ago
3 0

Step-by-step explanation:

y+4z=0

4x+y-2z=2

-3x-3z=-9

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3 years ago
A $\textit{palindrome}$ is a positive integer which reads the same forward and backward, like $12321$ or $4884$. How many $4$-di
Norma-Jean [14]

There are 90 4-digit palindromes

<h3>What are palindromes?</h3>

Palindromes are numbers whose reverse is the same as the original number

<h3>How to determine the count of 4-digit palindromes</h3>

Since the digit is 4, then

  • The first digit of the palindrome can be any of 1 to 9 (i.e. 9 digits)
  • The second digit can be any of 0 - 9 (i.e. 10 digits)
  • The third digit must be the second digit (i.e. 1 digit)
  • The last digit must be the first digit (i.e. 1 digit)

So, the total number of digits is:

n =9 * 10 * 1 * 1

Evaluate the product

n =90

Hence, there are 90 4-digit palindromes.

Read more about numbers at:

brainly.com/question/251701

4 0
3 years ago
IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Anarel [89]

Hey there!

Let's take the number of cows in the field as 'c'.

Then, the number of horses in the field is = c + 2 [2 <em>more</em> horses than cows]

Total number of animals on the field = 16.

So, equation becomes...

c + c + 2 = 16

<u>2c + 2 = 16</u>

Hope it helps ya!

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3 years ago
Dennis takes out a student loan to pay for his college tuition. Find the interest on the loan if he borrowed $17,500 at an annua
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Answer:

£23625

Step-by-step explanation:

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1575×15=23625

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rewona [7]

Answer:

b) 2/6

Step-by-step explanation:

0, 1/6, 2/6, 3/6, 4/6, 5/6, 1

Hope this helps!

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2 years ago
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