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Andru [333]
2 years ago
13

Solve the system using the elimination method.

Mathematics
1 answer:
seraphim [82]2 years ago
3 0

Answer:

Step-by-step explanation:

3x + 2y - z = 8

-3x + 4y + 5z = -14

6y + 4z = -6

3x + 2y - z = 8

-3x + 9y - 12z = 42

11y - 13z = 50

6y + 4z = -6

66y  - 78z = 300

-66y - 44z =  66

-122z = 366

z = -3

3x + 2y + 3 = 8

3x + 2y = 5

-3x + 4y -15 = -14

-3x + 4y = 1

3x + 2y = 5

-3x + 4y = 1

6y = 6

y = 1

3x + 2 + 3 = 8

3x + 5 = 8

3x = 3

x = 1

x=1, y = 1, z = -3

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Step-by-step explanation:

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3 years ago
4x-3=2x+5-3 whats the answer
ivolga24 [154]
The answer is 5/2
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good luck
3 0
2 years ago
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9+ 13 + 17 + ...+ 457=
Readme [11.4K]

Answer:

418

Step-by-step explanation: 457-17-13-9=418

To double check: 418 + 17 + 13 + 9 = 457

6 0
3 years ago
Two types of defects are observed in the production of integrated circuit boards. It is estimated that 6% of the boards have sol
aalyn [17]

Answer:

(a) 0.09

(b) 0.06

(c) 0.0018

(d) 0.9118

(e) 0.03

Step-by-step explanation:

Let <em>A</em> = boards have solder defects and <em>B</em> = boards have surface defects.

The proportion of boards having solder defects is, P (A) = 0.06.

The proportion of boards having surface-finish defects is, P (B) = 0.03.

It is provided that the events A and B are independent, i.e.

P(A\cap B)=P(A)\times P(B)

(a)

Compute the probability that either a solder defect or a surface-finish defect or both are found as follows:

= P (A or B) + P (A and B)

=P(A)+P(B)-P(A\cap B)+P(A\cap B)\\=P(A)+P(B)\\=0.06+0.03\\=0.09

Thus, the probability that either a solder defect or a surface-finish defect or both are found is 0.09.

(b)

The probability that a solder defect is found is 0.06.

(c)

The probability that both defect are found is:

P(A\cap B)=P(A)\times P(B)\\=0.06\times0.03\\=0.0018

Thus, the probability that both defect are found is 0.0018.

(d)

The probability that none of the defect is found is:

P(A^{c}\cup B^{c})=1-P(A\cup B)\\=1-P(A)-P(B)+P(A\cap B)\\=1-P(A)-P(B)+[P(A)\times P(B)]\\=1-0.06-0.03+(0.06\times0.03)\\=0.9118

Thus, the probability that none of the defect is found is 0.9118.

(e)

The probability that the defect found is a surface finish is 0.03.

6 0
3 years ago
I need the answer for 90 please its due tommorow!
babunello [35]
Jacqueline is incorrect. 
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Jacqueline said you would be able to clean 19/3 miles but you can actually clean 20/3.
4 0
3 years ago
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