Question

5x-2y=3


x+2y=2

por favor ayuda !!​

Answer 1

Verified answer

Respuesta:

5x-2y = 3

x+2y = 2

x = 5/6 ; y = 7/12

Método de Sustitución :

1 ) Se despeja a " y " en la ecuación " x+2y = 2 " :

x+2y = 2

x+2y-x = 2-x

2y = 2-x

2y/2 = (2-x)/2

y = (2-x)/2

2 ) Se reemplaza a " y = (2-x)/2 " en la ecuación " 5x-2y = 3 '' :

5x-2((2-x)/2) = 3

5x-(2-x) = 3

5x-2+x = 3

6x-2 = 3

6x-2+2 = 3+2

6x = 5

6x/6 = 5/6

x = 5/6

3 ) Se sustituye a " x = 5/6 " en la ecuación " x+2y = 2 " :

(5/6)+2x = 2

5/6+2x-5/6 = 2-5/6

2x = 7/6

6(2x) = 6(7/6)

12x = 7

12x/12 = 7/12

x = 7/12

Verificación :

5(5/6)-2(7/12) = 3

25/6-14/12 = 3

25/6-(14÷2/12÷2) = 3

25/6-7/6 = 3

(25-7)/6 = 3

18/6 = 3

3 = 3

(5/6)+2(7/12) = 2

5/6+14/12 = 2

5/6+(14÷2/12÷2) = 2

5/6+7/6 = 2

(5+7)/6 = 2

12/6 = 2

2 = 2

Explicación paso a paso: