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Ordenamos las ecuaciones.
1) x + y = 48
2) x - 2y = - 6
Despejo x en 1.
x + y = 48
x = 48 - y
Sustituyo x en 2.
x - 2y = - 6
48 - y - 2y = - 6
48 - 3y = - 6
- 3y = - 6 - 48
- 3y = - 54
y = -54/-3
y = 18
Sustituyo y = 18 en el despeje de x.
x = 48 - y
x = 48 - 18
x = 30
Solución :
x = 30
y = 18