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Step2247 [10]
1 year ago
8

4x + 5y = 3 2x + 3y = 1Solve by elimination

Mathematics
1 answer:
Lesechka [4]1 year ago
7 0

Answer:

The solution to the system of equations is:

x = 2, and y = -1

Explanation:

Given the pair of equations:

4x + 5y = 3 ..........................................................................(1)

2x + 3y = 1............................................................................(2)

To solve this by elimination:

Multiply equation (2) by 2, to eliminate x

Equation (2) becomes

4x + 6y = 2 .........................................................................(3)

Subtract equation (1) from (3)

4x - 4x + 6y - 5y = 2 - 3

y = -1 ....................................................................................(4)

Multiply equation (1) by 3 and equation (2) by 5 to eliminate y

Equation (1) becomes

12x + 15y = 9 .......................................................................(5)

Equation (2) becomes

10x + 15y = 5 ........................................................................(6)

Subtract equation (6) from (5)

12x - 10x + 15y - 15y = 9 - 5

2x = 4

Divide both sides by 2

x = 4/2 = 2 ............................................................................(7)

From equations (7) and (4)

x = 2, and y = -1

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Compare the doubling times found with the approximate and exact doubling time formulas. Then use the exact doubling time formula
g100num [7]

The population after 15 years become according to the doubling time is 470000000.

According to the statement

We have given that the nation of 200 million people is growing at a rate of 9% per year.And we have to find that the What will its population be in 15 years.

So, For this purpose, we know that the

The doubling time is the time it takes for a population to double in size/value. It is applied to population growth etc.

So,

Population of nation is 200 million and growing at a rate of 9% per year.

So, 9% of the population is

Percentage population = 9/100*200,000,000

Percentage population = 9* 200,000,0

Percentage population = 1800,000,0.

It means 18000000 number of population is increased per year.

So, The total population increased in 15 years is  15*18000000

The total population increased in 15 years is  270000000.

The population after 15 years is 270000000 + 200,000,000

The population after 15 years is 470000000.

So, The population after 15 years become according to the doubling time is 470000000.

Learn more about doubling time here

brainly.com/question/16407547

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6 0
1 year ago
HELP HELP HELP<br> HELP HELP <br> HELP <br> (STEP BY STEP)
Marizza181 [45]

With some simple rearrangement, we can rewrite the numerator as

2x^3 - 3x^2 - x + 4 = 2(x^3 - x) - 3x^2 + x + 4 \\\\ ~~~~~~~~ = 2x(x^2-1) - 3(x^2 - 1) + x + 1 \\\\ ~~~~~~~~ = (2x-3)(x^2-1) + x+1

Then factorizing the difference of squares, x^2-1=(x-1)(x+1), we end up with

\dfrac{2x^3 - 3x^2 - x + 4}{x^2 - 1} = \dfrac{(2x-3)(x-1)(x+1) + x+1}{(x-1)(x+1)} \\\\ ~~~~~~~~ = \boxed{2x-3 + \dfrac1{x-1}}

3 0
2 years ago
Four times two less than a number is the same as thrice one more than the number. Find the number.
IgorLugansk [536]

Answer:

See below:

Step-by-step explanation:

We can first setup an equation by doing the following:

4(2-x) = 3(x+1)\\8-4x=3x+3\\8-7x=3\\-7x=3-8\\-7x=-5\\x=-5/-7  (5/7)

Whole proccess above!

If you would like an explanation, please let me know so.

Its basically algebra and it's mainly on how you interpret it!

Have a nice day!

5 0
2 years ago
Suppose that 10 &lt; <br> n<br> &lt; 11. A possible value for n is
nikklg [1K]

Answer:

10.5

Step-by-step explanation:

10.5 is greater than 10 but also less than 11.

8 0
3 years ago
Can you please help me....Thank you!
PIT_PIT [208]

Answer:

#1

mean=7

median=8

range=9

mode=3

#2

mean=15

mode=17

range=14

median=14

#3

mean=11

mode=none

range=10

median=4.5

#4

mean=6

mode=4

range=13

median=4

Step-by-step explanation:

there you go, I think that's right but it's been awhile since I've had to do mode mean median and range

4 0
2 years ago
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