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x = (40 - 2y)/6
x = (32 - y)/5
2. Igualamos las dos ecuaciones:
(40 - 2y)/6 = (32 - y)/5
3. Resolvemos la ecuación:
5(40 - 2y) = 6(32 - y)
200 - 10y = 192 - 6y
-10y + 6y = 192 - 200
-4y = -8
y = -8/-4
y = 2
4. Sustituimos el valor de y en cualquiera de las dos ecuaciones anteriormente despejadas:
x = [40 - 2(2)]/6
x = (40 - 4)/6
x = 36/6
x = 6
5. Solución:
x = 6, y = 2