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Reika [66]
3 years ago
5

PLEASE HELP!!!! about solving systems!!! 30 points!!!

Mathematics
1 answer:
e-lub [12.9K]3 years ago
6 0

Answer:

Step-by-step explanation:

<h2>d ) 13x−8y=28 11x−8y=24 </h2>

we can solve:

13x−8y=28

11x−8y=24

.............................(subtract side by side)

13x - 11 x + (-8y) - (-8y) = 28 - 24

2x + 0 = 4

x = 4/2 = 2 (divide both sides by 2),

then you replace x = 2 into 13x - 8y = 28, we have 26 - 8y = 28

or -8y = 28-26, or -8y = 2, then y = 2/ -8= -1/4

Solution x =2, y = - 1/4

b) 5x−2y=1 15x−3y=−3

5x−2y=1 (multiple bothe sides by 3)

15x−3y=−3

we have

15x−6y=3

15x−3y=−3

..................(  subtract side by side)

0 -3y = 6

y = 6/-3

y = -2

then you replace y =- 2 into 5x - 2y = 1, we have 5x + 4 = 1

or 5x = 1-4 or 5x = -3, then x = -3/5

Solution: x = -3/5, y = -2

c) 13x−12y=14 11x−4=18y

we have:

13x−12y=14

11x−4=18y

then:

13x−12y=14 ( multiple bothe sides by 6)

11x - 18y = 4   (multiple bothe sides by 4)

then

78x−72y=84

44x−72y= 16

...........................( subtract side by side)

34x = 68

or x = 68/34 = 2

then you replace x = 2 into 11x -4 = 18y , we have 22 -4 = 18y

or 18y = 18 or y = 18/18 = 1

Solution: x = 2 , y = 1

a) 12x−7y=2 4x−5y=6

we have

12x−7y=2

4x−5y=6  (multiple bothe sides by 3)

so

12x−7y=2

12x−15y=18

-------------------------(subtract side by side)

8y = -16

or y = -16/8 = -2

then you replace y = -2 into 4x -5y = 6 , we have 4x + 10 = 6

or 4x = 6 - 10 or 4x = - 4 and x = -4/4 = - 1

Solution: x = - 1 , y = - 2

b) 7u+2v=1 17u+6v=−9

7u+2v=1   (multiple bothe sides by 3)

17u+6v=−9

so

21u+6v=3  

17u+6v=−9

------------------(subtract side by side)

4u = 12

or u = 12/4 = 3

then you replace u = 3 into 7u +2v = 1 , we have 21 + 2v = 1

or 2v = 1 - 21 or 2v = - 20 and v = -20/2 = - 10

Solution: u = 3, v = - 10

<h2>c) 6x=25y+1 5x−16y=−4</h2>

6x=25y+1  (multiple bothe sides by 5)

5x−16y=−4  (multiple bothe sides by 6)

we have

30x=125y+5

30x = 96y−24

-------------------------(subtract side by side)

0 = 29y + 29

or 29y = - 29

then y = - 29/29 = -1

then you replace y = -1 into 6x = 25y + 1 , we have 6x = - 25 + 1

or 6x = - 24 or x = -24/6 = - 4

Solution: x= -4, y = - 1

Have a good day!

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3 years ago
According to the rational root theorem, which of the following are possible
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Given:

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City Community College plans to increase its enrollment capacity to keep up with an increasing number of student applicants. The
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The given above may be modeled by the arithmetic sequence with initial value (I) 2200 and common difference (d) of 70. The number of applicants every year can be written by the equation,
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From the given above, n is equal to 4. This corresponds to the term which is 3 years from now. 
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I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator
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Answer:

V ≈ 3367.6 cm³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

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Here D = 18.6 , then r = 18.6 ÷ 2 = 9.3 , so

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