Question

$6x+3Y=392X-3Y=1$

Answer 1

Método de igualdad

6x + 3y = 39 Ec1

2x - 3y = 1 Ec2

x1 = 39 - 3y/6

x2 = 1 + 3y/2

39 - 3y 1 + 3y

_____ = ______

6 2

2 (39 - 3y) = 6 (1 + 3y)

78 - 6y = 6 + 18y

-6y - 18y = 6 - 78

(-) -24y = -72

24y = 72

y = 72/24

y = 3

6x + 3y = 39 Ec1

6x + 3(3) = 39

6x + 9 = 39

6x = 39 - 9

6x = 30

x = 30/6

x = 5

2x - 3y = 1 Ec2

2x - 3(3) = 1

2x - 9 = 1

2x = 1 + 9

2x = 10

x = 10/2

x = 5

x = 5 ; y = 3

Comprobación

6x + 3y = 39 Ec1

6(5) + 3(3) = 39

30 + 9 = 39

39 = 39

2x - 3y = 1 Ec2

2(5) - 3(3) = 1

10 - 9 = 1

1 = 1

Espero haberte ayudado. Suerte en los estudios ≧◠◡◠≦.