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Vlad [161]
4 years ago
15

Graph the system of equations. −x+2y=−8 3x−y=−6

Mathematics
2 answers:
BARSIC [14]4 years ago
7 0

Answer: x = - 4

y = - 6

Step-by-step explanation:

The given system of linear equations is expressed as

- x + 2y = - 8- - - - - - - - - - - - -1

3x - y = - 6 - - - - - - - - - - - -2

We would eliminate x by multiplying equation 1 by 3 and equation 2 by 1. It becomes

- 3x + 6y = - 24- - - - - - - - - - -3

3x - y = - 6- - - - - - - - - - - -4

Adding equation 3 to equation 4, it becomes

5y = - 30

Dividing the left hand side and the right hand side of the equation by 3, it becomes

5y/5 = - 30/5

y = - 6

Substituting y = - 6 into equation 2, it becomes

3x - - 6 = - 6

3x + 6 =- 6

Subtracting 6 from the left hand side and the right hand side of the equation, it becomes

3x + 6 - 6 = - 6 - 6

3x = - 12

Dividing the left hand side and the right hand side of the equation by 3, it becomes

3x/3 = - 12/3

x = - 4

Evgen [1.6K]4 years ago
6 0

Answer:

x = -4, y = -6

Step-by-step explanation:

-x+2y = -8

3x-y = -6

x = 2y+8

3(2y+8) - y = -6

6y + 24 -y = -6

5y = -30

y = -6

x = 2(-6)+8 = -12+8 = -4

x = -4, y = -6

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3 years ago
Use the distributive property to solve the equation 3x=15?
Tcecarenko [31]

Answer:

  x = 5

Step-by-step explanation:

Ordinarily, one would not need the distributive property to solve this equation. It is quickly and easily solved by making use of the multiplication property of equality: multiply both sides of the equation by 1/3.

  3x(1/3) = 15(1/3)

  x = 5

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To use the <em>distributive property</em>, we need the sum of two terms that have a common factor. We can get that form by subtracting 15 from both sides of the equation (subtraction property of equality):

  3x - 15 = 15 - 15 . . . . subtract 15

  3x -15 = 0 . . . . . . . . .simplify

Now, we can apply the distributive property to remove a factor of 3:

  3(x -5) = 0

And we can use the multiplication property of equality to multiply by 1/3:

  3(1/3)(x -5) = 0(1/3)

  x -5 = 0 . . . . . . . . . . simplify

Finally, we can add 5 to both sides of the equation (addition property of equality):

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The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 60 A, 12 B, and 48 C. Show th
zimovet [89]

Answer:

CLASS     FREQUENCIES     RELATIVE FREQUENCIES

A                        60                                 0.5

B                        12                                  0.1

C                        48                                 0.4

TOTAL              120                                  1

Step-by-step explanation:

Given that;

the frequencies of there alternatives are;

Frequency A = 60

Frequency B = 12

Frequency C = 48

Total = 60 + 12 + 48 = 120

Now to determine our relative frequency, we divide each frequency by the total sum of the given frequencies;

Relative Frequency A = Frequency A / total = 60 / 120 = 0.5

Relative Frequency B = Frequency B / total = 12 / 120 = 0.1

Relative Frequency C = Frequency C / total = 48 / 120 = 0.4

therefore;

CLASS     FREQUENCIES     RELATIVE FREQUENCIES

A                        60                                 0.5

B                        12                                  0.1

C                        48                                 0.4

TOTAL              120                                  1

5 0
3 years ago
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Phantasy [73]

Answer:

33.08 m

Step-by-step explanation:

angle of ∆ = 131.6 - 90 = 41.6

=> x² = 8²+3²-2(8)(3)cos 41.6°

= 64+9-48(0.75)

= 73 - 36

= 37

x = √37 = 6.08 m

perimeter = (3×8)+3+6.08 = 33.08 m

5 0
3 years ago
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