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5X + 9Y = 60 (2)
En (1)
3X = 2Y - 2
X = 2Y/3 - 2/3
En (2)
5X + 9Y = 60
X = 60/5 - 9Y/5
X = 12 - 9Y/5
X = X:
2Y/3 - 2/3 = 12 - 9Y/5
2Y/3 + 9Y/5 = 12 + 2/3
2Y/3 + 9Y/5 = [5(2Y) + 3(9Y)]/15 = [10Y + 27Y]/15 = 37Y/15
12 + 2/3 = 36/3 + 2/3 = 38/3
37Y/15 = 38/3
37Y/5 = 38
37Y = (5)(38)
37Y = 190
Y = 190/37
Ahora reemplazo Y en X = 12 - 9Y/5
X = 12 - 9(190/37)/5
X = 12 - (9*38)/37
X = 12 - 342/37
X = 444/37 - 342/37
X = 102/37
Rta: X = 102/37, Y = 190/37