3 years ago

Does it have a solution and why?

Mathematics

1 answer:

Paha777 [63]3 years ago

5 0

Yes, it has infinetly many solutions

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Use the elimination method to solve the system of equations 2x+3y=8 x-y=9

babunello [35]

Answer:

Step-by-step explanation:

Answer: x = 7 and y = -2

Step-by-step explanation:

2x +3y = 8 ----------------(1)

x-y = 9 ----------------------(2)

multiply (2) by 2

2x-2y = 18--------------------(3)

subtract (2) from (3)

-5y = 10

Divide bothside by -5

y = -2

Similarly, multiply (2) by 3

3x-3y = 27-----------------------(4)

add (1) and (4) together

5x = 35

Divide bothside by 5

x= 7

Therefore, x =7 and y= -2

6 0

4 years ago

Find the sum of this infinite geometric series: 4 - 2.88 + 2.0736- 1.492992+...

kirza4 [7]

Let $r$ be the common ratio between terms. Then

$-2.88=4r\implies r=-0.72$

Now denote the $n$ th partial sum of the series by

$S_n=4-2.88+2.0736-1.492992+\cdots+4(-0.72)^{n-1}+4(-0.72)^n$

Multiply both sides by $-0.72$ , then subtract from the above to get

$S_n-(-0.72S_n)=4-4(-0.72)^{n+1}$
$1.72S_n=4(1-(-0.72)^{n+1})$
$S_n=2.32558(1-(-0.72)^{n+1})$

As $n\to\infty$ , you're left with

$S_\infty=2.32558$