Question

Resolver los sistemas de ecuaciones lineales por el metodo de sustituciom 5x-10y=25. 8x+2y=4​

Answer 1

5x - 10y = 25 Ec1

8x + 2y = 4 Ec2

x2 = 4 - 2y/8

5x - 10y = 25 Ec1

5 (4 - 2y/8) - 10y = 25

5 (4 - 2y) = 8 (25 + 10y)

20 - 10y = 200 + 80y

-10y - 80y = 200 - 20

(-) -90y = 180

90y = -180

y = -180/90

y = -2

5x - 10y = 25 Ec1

5x - 10 (-2) = 25

5x + 20 = 25

5x = 25 - 20

5x = 5

x = 5/5

x = 1

8x + 2y = 4 Ec2

8x + 2(-2) = 4

8x - 4 = 4

8x = 4 + 4

8x = 8

x = 8/8

x = 1

x = 1 ; y = -2

Comprobación

5x - 10y = 25 Ec1

5(1) - 10(-2) = 25

5 + 20 = 25

25 = 25

8x + 2y = 4 Ec2

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

8 - 4 = 4

4 = 4

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