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mylen [45]
3 years ago
8

Solve the system of equations by elimination and identify which could be a first step of the elimination method for the system.

3x + 2y = 24 6x + 2y = 30
Mathematics
1 answer:
Alecsey [184]3 years ago
4 0
3x+2y=24
Times 2
6x+4y=48
-
6x+2y=30
=
2y=18
y=9
x=2. Hope it help!
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Answer:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Step-by-step explanation:

We proceed to solve algebraically and explain each step:

1) 4\cdot x +1 +x + 3 = -11 GIven

2) 4\cdot x +x +1 + 3 = -11 Commutative property

3) (4+1)\cdot x +4 = -11 Distributive property/Definition of addition

4) 5\cdot x +4 = -11 Definition of addition

5) 5\cdot x +4 -4 = -11-4 Compatibility with addition

6) 5\cdot x = -15 Existence of additive inverse/Modulative property

7) \frac{1}{5}\cdot (5\cdot x)= \frac{1}{5}\cdot (-15) Compatibility with multiplication

8) x = - 3 Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Hence, we have the following answers:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

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Suppose SAT scores among college students are normally distributed with a mean of 500 and a standard deviation of 100. If a stud
bagirrra123 [75]

Answer:

700-500/500=2

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The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5.
Vera_Pavlovna [14]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Brooklyn is going to invest in an account paying an interest rate of 1.9% compounded continuously. How much would Brooklyn need
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erastovalidia [21]

9514 1404 393

Answer:

  • x = 5
  • y = 30
  • z = 8

Step-by-step explanation:

The rhombus has several relevant properties.

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  • Diagonals are perpendicular bisectors of each other
  • Diagonals divide the rhombus into congruent triangles

The last of these relations can be used to find x:

  7x° = 35°

  x = 35°/7° = 5

The second of the relations can be used to find y:

  3y° = 90°

  y = 90°/3° = 30

The first of the relations can be used to find z:

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  5z = 40 . . . . . . . . . add 8-5z

  z = 40/5 = 8

4 0
2 years ago
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