Question

2X + Y = 8 X - 4Y = -5

Answer 1

Método de igualdad

2x + y = 8 Ec1

x - 4y = -5 Ec2

x1 = 8 - y/2

x2 = -5 + 4y/1

8 - y -5 + 4y

____ = ______

2 1

1 (8 - y) = 2 (-5 + 4y)

8 - y = -10 + 8y

-y - 8y = -10 - 8

-9y = -18

(-) 9y = 18

y = 18/9

y = 2

2x + y = 8 Ec1

2x + 2 = 8

2x = 8 - 2

2x = 6

x = 6/2

x = 3

x - 4y = -5 Ec2

x - 4 (2) = -5

x - 8 = -5

x = -5 + 8

x = 3

x = 3 ; y = 2

Comprobación

2x + y = 8 Ec1

2(3) + 2 = 8

6 + 2 = 8

8 = 8

x - 4y = -5 Ec2

3 - 4(2) = -5

3 - 8 = -5

-5 = -5

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