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Y = Valor de Un lapiz
5X + 3Y = 51 (Ecuacion 1)
3X + 5Y = 37 (Ecuacion 2)
Uso reduccion para resolver:
La(1)x-3: -15X - 9Y = -153
La(2)x5: 15X + 25Y = 185
La(2)x5: 15X + 25Y = 185
+La(1)x-3:-15X - 9Y = -153
---------------------------------------
16Y = 32
Y = 32/16
Y = $2
Ahora en ecuacion (1):
5X + 3Y = 51
5X = 51 - 3Y
5X = 51 - 3(2)
5X = 51 - 6
5X = 45
X = 45/5
X = 9
Rta: Un cuaderno cuesta $9 y un lapiz cuesta $2