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2 years ago

3x+2y=10 and 2x+3y=-3

Mathematics

1 answer:

defon2 years ago

8 0

Answer: x = −2 /3 y + 10 /3 and x = −3/ 2 y + −3 /2

Step-by-step explanation:

1. 3x+2y=10

3x+2y=10

3x+2y+−2y=10+−2y

3x=−2y+10

3x /3 = −2y+10 /3

x = −2 /3 y + 10 /3

2. 2x+3y=−3

2x+3y=−3

2x+3y+−3y=−3+−3y

2x=−3y−3

2x /2 = −3y−3/2

x = −3/ 2 y + −3 /2

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suter [353]

Turn them all into decimals so you can clearly see the difference between them

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2 years ago

Missing number in the series 9, ____, 6561, 43046721 is: 81 25 62 31 18 9. one number is 2 more than 3 times another. their sum

Nadusha1986 [10]

Alright, lets get started.

Missing number fom the series : 9, ..... , 6561, 43046721

43046721 is square of its previous number 6561, means

$6561^2 = 43046721$

It means the missing number will be square of its previous number

Means $9^2 = 81$ , so missing number is 81. : Answer

Next : one number is 2 more than 3 times another. their sum is 22. find the numbers.

Suppose one number is x and second number is y

As per given equation, $x = 3y + 2$ ......equation (1)

Their sum is 22 means, $x+y = 22$ .......equation (2)

Putting the value of x from equation1 into equation 2

$3y + 2 + y = 22$

$4y + 2 = 22$

Subtracting 2 in both sides

$4y + 2 - 2 = 22 - 2$

$4y = 20$

$y = 5$

$x = 22 - y = 22 - 5 = 17$

Means numbers are 17 and 5. : Answer

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1 could be written as 1

4 could be written as $2^2$

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So , next number would be $4^4$

$4^4 = 256$

Next one is $5^5 = 3125$

So, the missing number is 256 : Answer

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After 3,4 (5) is mising, 6, 7 (8) is missing, 9, 10 (11) will be missing

So, next number will be 12. : Answer

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Between 2 plants, the distance is = $3 * (2-1) = 3$