Question

Sustitución:

2X + 3Y = 2
-6X + 12Y = 1

Answer 1

Respuesta:

X= 0 Y=1/3

Explicación paso a paso:

1) 2X+3Y=2

2X=2-3Y

X=2-3Y esto sobre 2

2) -6X+12Y=1

-6/1 (2-3Y / 2) +12Y= 1

-12+18Y/2 + 12Y/1 = 1

-12+18Y+24Y=1 (2)

18Y+24Y = 2+12

42Y = 14

Y = 14/42 = SIMPLIFICANDO 7/21 = 1/3

COMPROBACIÓN

1) -6X + 12Y = 1

-6X + 12 (1/3) = 1

-6X + 4 = 1

-6X = 1 -4

-6X = -3

X = -3/-6 = SIMPLIFICAMOS = 1/2

2) 2X+3Y = 2

2(1/2) + 3(1/3) = 2

1 + 1 = 2

2 = 2