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3X + Y = 1 (Ecuacion 2)
En ecuacion 2:
3X + Y = 1
Y = 1 - 3X
Reemplazo este valor de Y en ecuacion 1:
8X + Y = 21
8X + (1 - 3X) = 21
8X + 1 - 3X = 21
5X + 1 = 21
5X = 21 - 1
5X = 20
X = 20/5
X = 4
Ahora reemplazo el valor de X = 4, en Y = 1 - 3X
Y = 1 - 3(4)
Y = 1 - 12
Y = -11
X = 5; Y = -11
Probemos
8X + Y = 21
8(4) + (-11) = 32 - 11 = 21 Cumple
3X + Y = 1
3(4) + (-11) = 12 - 11 = 1 Cumple
Rta:
X = 5; Y = -11