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Alecsey [184]
3 years ago
14

6x−5y=15 x=y+3 ​What X = and what does Y= in this problems?

Mathematics
2 answers:
blsea [12.9K]3 years ago
4 0

Answer:

y =  − 3 in this problem.

salantis [7]3 years ago
4 0

Answer:

X= (5y+15)/6  Y= x-3

Step-by-step explanation:

6x - 5y = 15

     +5y   +5y

--------------------

6x= 5y + 16

/6     /6     /6

= (5y+16)/6

~~~~~~~~~~~~~~~~~

x= y + 3

-3      -3

------------

x - 3 = y

Hope this helps!

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Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81+...
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Note that A and D are ludicrous choices, so you can throw them away outright. (Any divergent series cannot have a sum, and any convergent series must have a sum.)

The sum is certainly convergent because it can be written as a geometric sum with common ratio between terms that is less than 1 in absolute value.

S=\dfrac13+\dfrac29+\dfrac4{27}+\dfrac8{81}+\cdots
S=\dfrac13\left(1+\dfrac23+\dfrac{2^2}{3^2}+\dfrac{2^3}{3^3}+\cdots\right)

We can then find the exact value of the sum:

\dfrac23S=\dfrac13\left(\dfrac23+\dfrac{2^2}{3^2}+\dfrac{2^3}{3^3}+\dfrac{2^4}{3^4}+\cdots\right)

\impliesS-\dfrac23S=\dfrac13
\implies\dfrac13S=\dfrac13
\implies S=1

So the answer is B.
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3 years ago
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