Question

9x + 4y = −3
2x − 5y = −1
Método de igualación

Answer 1

Respuesta:

Rta:

x = -19/53

y = 3/53

Explicación paso a paso:

9x + 4y = -3 (Ecuación 1)

9x = -4y - 3

x = (-4y - 3)/9

2x - 5y = - 1 (Ecuación 2)

2x = 5y - 1

x = (5y - 1)/2

Hacemos: x = X

(-4y - 3)/9 = (5y - 1)/2

2(-4y - 3) = 9(5y - 1)

-8y - 6 = 45y - 9

9 - 6 = 45y + 8y

3 = 53y

y = 3/53

Ahora:

x = (5y - 1)/2

x = (5(3/53) - 1)/2

x = (15/53 - 1)/2

Hagamos aparte:

15/53 - 1 = 15/53  - 53/53 = (15 - 53)/53 = -38/53

x = (-38/53)/2 = -19/53

x = -19/53