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Jobisdone [24]
2 years ago
7

-3x - 4y = 2 3x + 3y = -3

Mathematics
1 answer:
densk [106]2 years ago
5 0

Answer:

x = -2

y = 1

Step-by-step explanation:

-3x - 4y = 2

x = -2

y = 1

3x + 3y = -3

x = -2

y = 1

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Answer:

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Step-by-step explanation:

The generating function a(x) produces a power series ...

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We observe that the given sequence has the recurrence relation ...

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This can be rearranged to ...

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We can formulate this in terms of a(x) as follows, then solve for a(x).

\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}

The generating function is ...

  a(x) = 1/(1+2x)

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Step-by-step explanation:

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