Question

Tera: Metodo de sustitucion
x= -4y
+
3x + 2 y = -30

y = -3x
+
6x + 5y = 18

-5y = x
+
2x + 7 y = 12

y=x+3
+
2x+4y=24​

Answer 1

Explicación paso a paso:

x= -4y

+

3x + 2 y = -30. x = -4y

3(-4y) + 2y = 30. x = - 4(-3)

-12y +2y = 30. x 12

- 10y = 30

y = -30/10

y = - 3

y = -3x

+

6x + 5y = 18. y = -3x

6x + 5(-3x) = 18. y = -3(-2)

6x - 15x = 28. y = 6

-9x = 18

x = - 18/9

x = -2

-5y = x

+

2x + 7 y = 12. -5y = x

2(-5y) + 7y = 12. -5(-4) = x

- 10y + 7y = 12. 20= x

- 3y = 12

y = -12/3

y = - 4

y=x+3

+

2x+4y=24. y = x + 3

2x + 4(x + 3) = 24. y = 2 + 3

2x + 4x + 12 = 24. y = 5

6x = 24 - 12

6x = 12

x = 12/6

x = 2