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Diego = n
m + n = 574
m - 3n = - 50
Despejo m en 1
m + n = 574
m = 574 - n
Sustituyo m en 2
m - 3n = - 50
574 - n - 3n = - 50
- n - 3n = - 50 - 574
- 4n = - 624
n = -624/-4
n = 156
Sustituyo el valor de n en el despeje de m
m = 574 - n
m = 574 - 156
m = 418
Solución :
Verónica tiene $418
Diego tiene $156