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4X + 3Y = 5 (Ecuacion 2)
En (1)
3X + 2Y = 8
3X = 8 - 2Y
X = 8/3 - 2Y/3
Reemplazo en (2)
4X + 3Y = 5
4(8/3 - 2Y/3) + 3Y = 5
32/3 - 8Y/3 + 3Y = 5
-8Y/3 + 3Y = -8Y/3 + 9Y/3 = Y/3
Y/3 + 32/3 = 5
Y/3 = 5 - 32/3
Y/3 = 15/3 - 32/3
Y/3 = -17/3 (Cancelo el 3 del denominador de las dos expresiones)
Y = -17
Reemplazo Y = -17
X = 8/3 - 2Y/3
X = 8/3 - 2(-17)/3
X = 8/3 + 34/3
X = 42/3
X = 14
Rta: X = 14; Y = -17