Question

5x-2y=1
2x+3y=27
metodo de sustitucion​

Answer 1

Sistema de ecuación

Método de sustitución

5x - 2y = 1 (Ec1)

2x + 3y = 27 (Ec2)

x1 = 1 + 2y/5

2x + 3y = 27 (Ec2)

2 (1 + 2y/5) + 3y = 27

2 (1 + 2y) = 5 (27 - 3y)

2 + 4y = 135 - 15y

4y + 15y = 135 - 2

19y = 133

y = 133/19

y = 7

5x - 2y = 1 (Ec1)

5x - 2 (7) = 1

5x - 14 = 1

5x = 14 + 1

5x = 15

x = 15/5

x = 3

2x + 3y = 27 (Ec2)

2x + 3 (7) = 27

2x + 21 = 27

2x = 27 - 21

2x = 6

x = 6/2

x = 3

R// x = 3; y = 7

Comprobación

5x - 2y = 1 (Ec1)

5 (3) - 2 (7) = 1

15 - 14 = 1

1 = 1

2x + 3y = 27 (Ec2)

2 (3) + 3 (7) = 27

6 + 21 = 27

27 = 27

Espero haberte ayudado. Suerte en los estudios ʕ•́ᴥ•̀ʔっ♡.