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5x - 3y = 35
4x + 4y = 60
----------------------
5x - 3y = 35
5x = 35 + 3y
x = 35 + 3y
-----------
5
.......................................................
4x + 4y = 60
4x = 60 - 4y
x = 60 - 4y
------------
4
.................................................................
Ahora igualamos ambas ecuaciones despejadas.
35 + 3y 60 - 4y
-------------- = -----------------
5 4
4(35 + 3y) = 5(60 - 4y)
140 + 12y = 300 - 20y
12y + 20y = 300 - 140
32y = 160
y = 160/32
y = 5
........................................................
Reemplazamos "y" en la primera ecuación.
x = 35 + 3y
-----------
5
35 + 3(5)
x = ---------------
5
35 + 15
x = ------------------
5
x = 10
..................................................
Solución :
y = 5
x = 10