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5x + 2y = 12
6x - 3y = 9
---------------------------
Despejamos la variable x.
5x + 2y = 12
5x = 12 - 2y
12 - 2y
x = ---------------
5
..........................................................
6x - 3y = 9
6x = 9 + 3y
x = 9 + 3y
-------------
6
Igualamos ambas ecuaciones.
12 - 2y 9 + 3y
----------- = -------------
5 6
6(12 - 2y) = 5(9 + 3y)
72 - 12y = 45 + 15y
72 - 45 = 12y + 15y
27 = 27y
27/27 = y
1 = y
............................................................
Reemplazamos "y" en la primera ecuación.
12 - 2y
x = ---------------
5
x = 12 - 2(1)
--------------
5
x = 2
Solución :
y = 1
x = 2