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DedPeter [7]
2 years ago
5

Solve the system using elimination. 2x + 3y = -2 3х – 6у = 18

Mathematics
2 answers:
Mashutka [201]2 years ago
7 0

Answer:

x = 2 and y = -2

Step-by-step explanation:

We must first eliminate the y-variable:

2x + 3y = -2

3x - 6y = 18

4x + 6y = -4

3x - 6y = 18

_________

7x = 14

x = 2

Since we know x=2, we plug that back into one of the original equations to find y:

2x + 3y = -2

2(2) + 3y = -2

4 + 3y = -2

3y = -6

y = -2

Therefore, x = 2 and y = -2

Anna35 [415]2 years ago
4 0

Step-by-step explanation:

2x+3y= -2.......... 1

3x - 6y = 18......... 2

Multiply both Sides of equation 1 by 2

4x + 6y = -4

3x - 6y = 18

(add Like terms)

7x = 14 (devide both Sides by 7)

.°. x = 2

Substitude x = 2 into equation 1

.°. 2(2) + 3y = -2 (multiple the digit)

4 + 3y = -2 (Move 4 to the right and change it's sign)

3y = -6 (devide both side by 3)

y = -2

Final answers x = 2 ; y = -2

{2 ; -2}

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Una recta con pendiente -2 ´pasa por el punto P(5, -1). La abscisa del punto Q que está en esa recta es 1. Encuentre la ordenada
oksian1 [2.3K]

Answer:

La ordenada de Q es 7.

Step-by-step explanation:

La ecuación de una recta es:

y = a*x + b

donde a es la pendiente y b es la ordenada al origen.

Para este problema, sabemos que la pendiente es -2

Entonces:

a = -2

y = -2*x + b

También sabemos que esta recta pasa por el punto (5, -1)

Esto significa que cuando evaluamos la ecuación en x = 5, y toma el valor y = -1

Si reemplazamos esos valores en la ecuación, obtenemos:

-1 = -2*5 + b

-1 = -10 + b

-1 + 10 = b

9 = b

Entonces la ecuación de la recta es:

y = -2*x + 9

Sabemos que el punto Q está en la línea, y la abscisa de este punto es 1.

Entonces este punto es Q (1, k)

donde k es la ordenada de este punto.

Porque nuestra línea también pasa por este punto, podemos concluir que cuando x = 1, y = k

Reemplazando eso en la ecuación tenemos:

k = -2*1 + 9 = -2 + 9 = 7

k = 7

La ordenada de Q es 7.

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Answer:

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Answer:

read below

Step-by-step explanation:

A1: I think D because you have a medium average mix of concentrate that will mix with only 2 more cups than itself, so this would keep it fine. A could also work sooooo.... A or D. i dont know at this point. B COULD be a possible solution but it's 5 vs 9.

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