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bonufazy [111]
2 years ago
10

use the elimination method to solve the system of equations. choose the correct ordered pair. 7x+3y=30 -2x+3y=3

Mathematics
1 answer:
andreev551 [17]2 years ago
3 0

Answer:

x = 3, y = 3

Step-by-step explanation:

Elimination method to find x:

  (7x + 3y = 30) * -1      ===>                              -7x - 3y = -30

                                                                          -2x + 3y = 3                    

  add two equations to eliminate y             ______________

                                                                                 -9x = -27     ===>   x = 3

substitution to find y:  

  -2x + 3y = 3

  -2(3) + 3y = 3

  -6 + 3y = 3

  3y = 9

    y = 3

Elimination method to find y:

  (7x + 3y = 30) * 2         ===>                           14x + 6y = 60

  (-2x + 3y = 3)  * 7         ===>                         -14x + 21y = 21

  add two equations to eliminate x             ______________

                                                                              27y = 81      ===>   y = 3

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Recursive formula is one way of solving an arithmetic sequence. It contains the initial term of a sequence and the implementing rule that serve as a pattern in finding the next terms. In the problem given, the 6th term is provided, therefore we can solve for the initial term in reverse. To make use of it, instead of multiplying 1.025, we should divide it after deducting 50 (which supposedly is added).
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a(3) = 1.025 (127.89) + 50 = 181.09

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Answer:

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Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

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Where k is a constant of Integration.

At t=0, P(t)=36

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Therefore:

P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560

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