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1) x + 6y = 27
2) 5x + 8y = - 60
Despejo x en 1.
x + 6y = 27
x = 27 - 6y
Sustituyo x en 2.
5x + 8y = - 60
5 (27 - 6y) + 8y = - 60
135 - 30y + 8y = - 60
- 30y + 8y = - 60 - 135
- 22y = - 195
y = -195/-22
y = 195/22
Reemplazo el valor de y en el despeje de x.
x = 27 - 6y
x = 27 - 6 (195/22)
x = 27 - 1170/22
x = (27 * 22 - 1170)/22
x = (594 - 1170)/22
x = - 576/22---simplificamos la mitad.
x = -288/11
Solución :
x = - 288/11
y = 195/22