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1) x - 3y = - 1
2) 3x + y = 0
Despejo x en 1.
x - 3y = - 1
x = - 1 + 3y
Sustituyo x en 2.
3x + y = 0
3 (- 1 + 3y) + y = 0
- 3 + 9y + y = 0
- 3 + 10y = 0
10y = 3
y = 3/10
Sustituyo y en el despeje de x.
x = - 1 + 3y
x = - 1 + 3 (3/10)
x = - 1 + 9/10
x = (- 1 * 10 + 9)/10
x = (-10 + 9)/10
x = - 1/10
Solución :
x = - 1/10
y = 3/10