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Lina20 [59]
3 years ago
15

use the elimination method to solve the system of equations. choose the correct ordered pair x-y=2 2x+3y=14

Mathematics
1 answer:
son4ous [18]3 years ago
4 0

Answer:

x = 4

y = 2

Step-by-step explanation:

x - y = 2

   x = 2 + y

2x + 3y = 14

  2(2 + y) + 3y = 14

  4 + 2y + 3y = 14

  4 + 5y = 14

  5y = 10

   y = 2

x - y = 2

  x - 2 = 2

  x = 4

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3x^2 -5x -2=0
Kipish [7]

Answer:

Step-by-step explanation:

1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)

Two numbers that work are -6 and +1

-6 x +1 = -6

-6 + -1 = -5

2. Split the middle term into the two numbers that you found.

3x^2 -6x +x -2 = 0

I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.

3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'

3x (x-2) +1 (x-2) = 0

4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.

(3x + 1) (x-2) = 0

5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.

3x + 1 = 0              x-2 = 0

3x = -1                   x = 2

x = -1/3

6. The solutions to this equation are x = 2 and x = -1/3

6 0
4 years ago
Read 2 more answers
What is the area of a circle?
Andru [333]

The area of a circle is the size of the 2-dimensional space inside the circle's
closed curved boundary.

The area can be calculated in terms of known linear measurements of the circle:

-- Area  =  (π) x (radius)²

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-- Area  =  (1/4) x (circumference) x (diameter)

Any of these formulas will give you the area.  The one you decide to use
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8 0
3 years ago
Help needed ASAP will give brainliest
Rom4ik [11]

Answer:

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Step-by-step explanation:

counting is like backwards in negatives so a +5 is slow and a +25 is high but in negatives its the opposite because you are missing that many

I dont really know who to explain it but I hope this helps

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4 years ago
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marin [14]

Answer:

804.063

Step-by-step explanation:

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8 0
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svetoff [14.1K]
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