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vivado [14]
3 years ago
7

Use substitution to solve the linear system of equations. y=-3x+1 y=2x-4 (-2, 1) (1, -2) (1, 2) (-1, -2)

Mathematics
1 answer:
shtirl [24]3 years ago
6 0

Answer:

Solution of the equations is (1, -2).

Step-by-step explanation:

Two linear  equations given in the question are

y = -3x+1-------------(1)

and y = 2x-4 ------------(2)

To solve these equations by substitution method we will substitute the value of y from equation (1) to equation number (2).

-3x+1 = 2x-4

Now we add 3x on both the sides of the equation

3x-3x+1 = 3x+2x-4

1 = 5x-4

we will add 4 on both the sides

1+4 = 5x-4+4

5 = 5x

Then we divide the equation by 5

5/5 = 5x/5

x = 5/5 = 1

Now we solve the equation (1) for the value of y by putting x = 1

y = -3(1)+1 = -3+1 = (-2)

So the solution will be (1 -2).



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Answer:

x+(x+1)=471

Step-by-step explanation:

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3 years ago
You are certain to get a red card when selecting 27 cards from a shuffled deck. Express the indicated degree of likelihood as a
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Answer:

If something is guaranteed, it has a probability of 100%, or 1.

Step-by-step explanation:

A standard deck has 52 cards. Of these, half are red cards (diamonds and hearts) and half are black cards (clovers and spades)

Half of the deck is 26 cards (52 ÷ 2 = 26), so you have 26 red and 26 black cards.

What this means in our context is, if we draw 27 cards, even if we drew all 26 black cards, we would still have 1 red card.

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7 0
3 years ago
A number is not an integer what type of number can it be
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It can be a decimal or fraction. An integer HAS to be a whole number.
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8 0
3 years ago
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What is one third of 45
jonny [76]
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7) Una cooperativa de agricultores obtuvo en el año 2020 una utilidad de $ 42,600 . De cuya suma destino el 15% par fondos de re
Katarina [22]

Answer:

$6390 se destinaron a los fondos de reserva, $7668 se destinaron a los fondos de provisión y $8520 se destinaron a los fondos de operaciones.

Step-by-step explanation:

Dado que una cooperativa de agricultores obtuvo en el año 2020 una utilidad de $42,600, de cuya suma destino el 15% para fondos de reserva, 18% para fondos de provisión y el 20% para fondos de operaciones, para calcular cada una de la suma​s se debe realizar el siguiente cálculo:

100 = 42,600

15 = X

42600 x 15 / 100 = 6390

100 = 42,600

18 = X

42600 x 18 / 100 = 7668

100 = 42,600

20 = X

42600 x 20 / 100 = 8520

Por lo tanto, $6390 se destinaron a los fondos de reserva, $7668 se destinaron a los fondos de provisión y $8520 se destinaron a los fondos de operaciones.

5 0
3 years ago
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