MÉTODO DE IGUALACION

ECUACIONES A RESOLVER:

METODO DE IGUALACIÓN

(1) ……………. 2x – 4y = 8

(2) ……………. X – 4y = 8

Despeje de ¨Y¨

(1)…. 4y = 8 - 2x

Y= 8 – 2x ………. (3)

4

(2)… 4y = 8 – x

Y = - 8 – x ………… (4)

-4

(3) = (4)

8 – 2x / 4 = - 8 – x / -4

-4(8 – 2x) = 4 (-8 – x)

-32 +8x = -32 – 4x

- 8x + 4x = - 32 + 32

- 4x = 0

X = 0 / -4

X = 0

Despeje de X

(4)…. Y= - 8 – X /-4

Y = -8 – 0 /-4

Y = -8 /-4

Y = 2

R/. (0, 2) …… x, y

METODO DE CRAMER O DETERMINACIÓN

(1) ……………. 2x – 4y = 8

(2) ……………. X – 4y = 8

X Y

(1) 2 -4

Δs= = (2) (-4) – (-4) (1)

(2) 1 -4 = -8 – 4

= -4

TI Y

(1) 8 -4 = (8)(-4) – (-4)(8)

Δx= = -32 - 32

(2) 8 -4 = 0

X TI

(1) 2 8 = (2)(8) – (8)(1)

Δy= = 16 - 8

(2) 1 8 = 8

Δs= -4 Δx= 0 Δy= 8

X = Δx / Δs = 0 / -4 = 0

Y = Δy / Δs = 8 / -4 = -2

R/. (0,2)

X,Y

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