3 years ago

When solving this system of equations by elimination, which could be the resulting equation when a variable has been eliminated?

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

7 0

Answer:

Step-by-step explanation:

3x-2y=10

5x+y=4

15x-10y=50

15x+3y=12

-13y=38

y=-38/13

Substitute for y

x=54/39

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Find the 7th term of the geometric sequence whose common ratio is 1/3 and whose first term is 5.

wolverine [178]

Answer:

$t_7 =\frac{5}{729}$

Step-by-step explanation:

We are given that:

First term (a) = 5

common ratio (r) = $\frac{1}{3}$

The nth term of a geometric sequence is given as:

$t_n =ar^{n-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{7-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \frac{1}{729}\\\\\huge\red{\boxed{\therefore t_7 =\frac{5}{729} }}$