I need help with solving systems of linear equations through elimination.
1.) 8x = 3y + 38
24= 6y + 9x
a. all real numbers
b. (4,-2)
c. (4,-4)
d. (6,3)
2.) 6 = 2x + y
7x = 3 - 3y
a. (15,-36)
b. (-5,6)
c. (0,0)
d. (-15,36)
3.) 11x = 5 + 10y
7y = -2x +45
a. (-5,10)
b. (5,5)
c. (14, -4)
d. No solution

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

8x = 3y + 38  

24= 6y + 9x  

Rearrange;

3y - 8x = -38       * 2     -------(1)

6y + 9x = 24       * 1       -------(2)

6y - 16x = -76    -------(3)

6y + 9y  = 24    -------(4)

Subtract (4) from (3)

     -25y = -100

      y= 100/25

     y = 4

Substitute y =4 into(1)

3y - 8x = -38    

3(4) - 8x = -38

12 -8x = -38

-8x = -38 - 12

x = 50/8 = 6 2/8

2) 6 = 2x + y

7x = 3 - 3y

Rearrange;

2x + y = 6            * 3    --------(1)

7x + 3y = -3         * 1     --------(2)

6x + 3y = 18        ---------(3)

7x  + 3y = -3        ---------(4)

Subtract (4) from (3)

-x   = 21

x = -21

Substitute x = -21 into (1)

2x + y = 6

2(-21) + y = 6

-42 + y = 6

y = 6 + 42

y = 48

3)  

11x = 5 + 10y

7y = -2x +45

Rearrange

11x - 10y = 5          * 2  ---------(1)

2x + 7y   = 45       * 11  ---------(2)

22x - 20y = 10     --------(3)

22x + 77y = 495  --------(4)

Subtract (4) from (3)

       -97y  = -485

          y =  5

Substitute y =5 into (1)

11x - 10y = 5  

11x - 10(5) = 5

11x - 50 = 5

11x = 5 + 50

11x = 55

x = 55/11

x = 5


Related Questions

If you have the equation, y=2x+10 what’s x if y=24

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Answer: x=7

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Answer:

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Step-by-step explanation:

10% = 0.1

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Jessica‘s mom is 30. Jessica‘s daughter is zero years old. Jessica‘s mom had Jessica at 15 years old. Jessica is 15 years old. Jessica‘s grandma is 45. Jessica‘s great grandma is 60. How old is Jessica‘s great great great great great great grandma? I know the answer it’s just so everybody can have extra points yay. Must show work. How many music part is Jessica grandma to her great great great great great great grandma?

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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ABCD is a parallelogram
M is the midpoint of CB
N is the midpoint of AB
DA = a
DC = c
a) find, in terms of a and c, the vector of MN
b) show that CA is parralel to MN

Answers

Answer:

Part a)

MN = 0.5a-0.5c

Part b)

MN=0.5a-0.5c

CA=a-c

CA is parallel to MN because 2×MN = CA.

Step-by-step explanation:

Part a = We know that ABCD is a parallelogram (stated), thus opposite sides must be equal. So given that DA = a, CB = a, DC = c, AB = C.

MN = MB+BN, so as M is the midpoint of CB then MB = 1/2 a and as we are going against AB (we are doing BN) then it will be -0.5c as N is the midpoint of AB.

Part B= More of a mathswatch error, where you have to quite literally put the precise answer. CA = CD+DA so -c (as we are going the opposite way to DC) + a.

CA = -c+a

Now CA is a multiple of MN. But Mathswatch prefers if you say that CA is parallel to MN because MN times 2 is equal to CA

In this exercise we have to use the knowledge of parallelogram and vectors to give the values ​​of each one of them, like this:

A) MN = 0.5a-0.5c

B)CA is parallel to MN because 2×MN = CA.

First, we have to remember the definition of parallelogram:

A polygon is any flat closed shape made of straight line segments. A parallelogram is a polygon with 4 sides in which sides that don't touch each other are parallel.

A) We know that ABCD is a parallelogram, thus opposite sides must be equal. So given that:

[tex]DA = a,\\CB = a, \\DC = c, \\AB = C.[/tex]

[tex]MN = MB+BN\\MB = 1/2\\BN=-0.5c\\MN = 0.5a-0.5c[/tex]

B)Where you have to quite literally put the precise answer, so we have that:

[tex]CA = CD+DA \\CD=-c\\DA=a\\CA = -c+a\\[/tex]

See more about parallelogram at brainly.com/question/555467

10) If the original price is $76.50 and there is a 30% discount, what is the sale price?

Answers

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x3 to get 30% so 22.95
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Answer:

$53.55

Step-by-step explanation:

30% off 76.50 = 22.95

76.50-22.95=53.55

Mr. Twain asked the students in his class to draw the figure below using a scale factor
2 in.
3.1 in.
3.9 in.
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Answers

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Answer:

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

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There is a site where you can look these up, Try to look it up on the internet heres some sites, For Homework: slader

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way

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answers

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Answers

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Answers

y = 3x² - 15x + 30
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Step-by-step explanation:

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Answers

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Answer:

Point A: Quadrant 1

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Step-by-step explanation:

Quadrant 1 is positive x and y

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Answers

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Answers

Answer:

False

Step-by-step explanation:

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In which expression below is the Commutative
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С
B
A
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Answers

C: 3 • W

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Answer:

3*W

Step-by-step explanation:

3*W = 3W

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Answers

Answer:

400 students

Step-by-step explanation:

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Answer:

400

Step-by-step explanation:

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Answers

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Please Help Me. I will Give 20 Points. Help Me Por Favor

Answers

Answer:

10,080cm for the whole thing.

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Step-by-step explanation:

30 x 25 = 750cm

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              1680cm

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  1680cm

+8400cm

10,080cm

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