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3 years ago

Y = 2x + 4 6x – 3y = -12 System by substitution 10 points

Mathematics

2 answers:

____ [38]3 years ago

8 0

Answer:

Infinitely many solutions

Step-by-step explanation:

$y=2x+4\\ [2] 6x-3y=-12$ < ------------- Linear equations given

Equations Simplified or Rearranged :

$y - 2x = 4 \\ [2] -3y + 6x = -12$

Solve by Substitution :

// Solve equation [1] for the variable $y$

$[1] y = 2x + 4$

// Plug this in for variable $y$ in equation $[2]$

$[2] -3*(2x+4) + 6x = -12$

[2] $0 = 0 =>$ Infinitely many solutions

Burka [1]3 years ago

5 0

Answer:

(-2, 0)

Step-by-step explanation:

y = 2x+4

6x - 3y = -12

Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...

2x - y = -4

Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...

2x-3(2x+4)=-4

Distribute the -3

2x-3(2x)-3(4)=-4

2x-6x-12=-4

Combine like terms

-4x-12=-4

Add 12 to both sides

-4x-12+12=-4+12

-4x=8

Divide both sides by -4

x=-2

Plug -2 back in for x to solve for y:

y = 2(-2) + 4

y=-4+4

y=0

(x, y) = (-2, 0)

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4 years ago

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3 years ago

50,000 contestants participate in an on-line game. The game randomly eliminates 20% of the contestants each day. Determine the n

irga5000 [103]

Answer:10,486 contestants

Step-by-step explanation:

First day:

Total number of contestants at the beginning = 50,000

After first day, 20% 0f 50,000 are removed.

That is, (20/100)×50,000 = 10,000

Contestants remaining after first day = 50,000-10,000 = 40,000

Second day:

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That is (20/100)×40000=8000

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Third day:

Contestants= 32000

20% removed

That is (20/100)×32000=6400

Balance =32000-6400=25,600

Fouth day:

Contestants= 25,600

20% removed

That is (20/100)×25,600=5,120

Balance =25,600-5,120=20,480

Fifth day:

Contestants= 20,480

20% removed

That is (20/100)×20,480=4096

Balance =20,480-4096=16,384

Sixth day:

Contestants= 16,384

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That is (20/100)×16,384=3276.8

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Seventh day:

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That is (20/100)×13,107.2=2621.44

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Therefore, number of contestants remaining after one week equals 10,486.

6 0

3 years ago

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V125BC [204]

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3 years ago

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