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podryga [215]
3 years ago
9

Solve using any method. −2x+y=3 −3x+y=1 (-1, -2) (2, 7) (-2, -1) (-2, -5)

Mathematics
1 answer:
damaskus [11]3 years ago
3 0

Answer:

Therefore the Final Solution is  x = 2 and y = 7  

i.e (2 ,7)

Step-by-step explanation:

Given:

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

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

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

To Find:

x = ?

y = ?

Solution:

Substituting Equation  ( 3 ) in Equation ( 1) we get

-2x+3x+1=3\\\\x=3-1\\\\\therefore x =2

Now Substituting x = 2 in Equation ( 3 ) we get

y=3\times 2+1=6+1\\\\\therefore y=7

Therefore the Final Solution is  x = 2 and y = 7  

i.e (2 ,7)

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The same number of people live on the islands Beautiful Sunrise and Gorgeous
aev [14]

Using the percentage concept, it is found that 75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = \frac{a}{b} \times 100\%

In this problem, we have that:

  • We consider that the population of both Beautiful Sunrise and Gorgeous Sunset islands is of x.
  • There is a fiesta at Beautiful Sunrise, and a number a of people from Gorgeous Sunset are coming, hence, there will be x + a people at Beautiful Sunrise and x - a people t Gorgeous Sunset.

The percentage of people from Gorgeous Sunset is on Beautiful Sunrise now is:

P = \frac{a}{x} \times 100\%

Now the number of people on Beautiful Sunrise is seven times the number of people on Gorgeous Sunset, hence:

\frac{x + a}{x - a} = 7

We can find a <u>as a function of x</u> to find the percentage:

\frac{x + a}{x - a} = 7

7(x - a) = x + a

7x - 7a = x + a

8a = 6x

a = \frac{3x}{4}

Then, the percentage is:

P = \frac{a}{x} \times 100\%

P = \frac{\frac{3x}{4}}{x} \times 100\%

P = \frac{3}{4} \times 100\%

P = 75\%

75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

You can learn more about the percentage concept at brainly.com/question/10491646

7 0
2 years ago
What is 46 minutes before 7:00am?
Svet_ta [14]
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8 0
3 years ago
find an equation in slope intercept form of a line that passes through the point 2.2 and has a slope m is equal 0 also sketch th
Goshia [24]
Y = mx+b (slope intercept form). I imagine the point is (2,2) and m = 0. So the answer is y = 2. A sketch would be a horizontal line on the x-y plane going through (2,2).
6 0
3 years ago
The graph of linear function f passes through the point (1, −9) and has a slope of −3. What is the zero of f?
ale4655 [162]
Zero of (f) equals -6
7 0
2 years ago
PLZZ HELLP ME !!!! WILL GIVE BRANLIEST !!!!
Zielflug [23.3K]

Answer:

24mm

Step-by-step explanation:

since it's a similar triangle, we solve;

EH/EG=DH/DG

EH=56mm;

EG=44.8mm;

DH=35mm;

DG=X+4.

Fix them,

56/44.8=35/x+4

cross multiply

56(x+4)=35×44.8

56x+224=1,568

collect the like term

56x=1,344

divide via by 56

56x/56=1344/56

x=24mm

Check/ verify

EH/EG=DH/DG

56/44.8=35/24+4

56/44.8=35/28

CROSS MULTIPLY OVER THE EQUAL SIGN.

56×28=35×44.8

1,568=1,568

THAT'S CORRECT.

6 0
2 years ago
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