Question

{7X+1/2=8
{0.5X+0.5Y=1.5
Ecuaciones lineales xfavor es urgente :(

Answer 1

Sistema de ecuación

Método de sustitución

7x + 1/2y = 8 (Ec1)

0.5x + 0.5y = 1.5 (Ec2)

x1 = 8 - 1/2y/7

0.5x + 0.5y = 1.5 (Ec2)

0.5 (8 - 1/2y/7) + 0.5y = 1.5

0.5 (8 - 1/2y) = 7 (1.5 - 0.5y)

4 - 0.25y = 10.5 - 3.5y

-0.25y + 3.5y = 10.5 - 4

3.25y = 6.5

y = 6.5/3.25

y = 2

7x + 1/2y = 8 (Ec1)

7x + 1/2 (2) = 8

7x + 1 = 8

7x = 8 - 1

7x = 7

x = 7/7

x = 1

0.5x + 0.5y = 1.5 (Ec2)

0.5x + 0.5 (2) = 1.5

0.5x + 1 = 1.5

0.5x = 1.5 - 1

0.5x = 0.5

x = 0.5/0.5

x = 1

R// x = 1; y = 2

COMPROBACIÓN

7x + 1/2y = 8 (Ec1)

7 (1) + 1/2 (2) = 8

7 + 1 = 8

8 = 8

0.5x + 0.5y = 1.5 (Ec2)

0.5 (1) + 0.5 (2) = 1.5

0.5 + 1 = 1.5

1.5 = 1.5

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