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1) 5x - 8y = - 13
2) 2x - 3y = - 4
Despejo x en ecuación 1.
5x - 8y = - 13
5x = - 13 + 8y
x = - 13 + 8y
-------------
5
El despeje de x lo sustituyo en ecuación 2.
2x - 3y = - 4
2 (- 13 + 8y)/5 - 3y = - 4
(2(8y - 13) - 5 (3y)
------------------------- = - 4
5
2 (8y - 13) - 5 (3y)
------------------------- = - 4
5
16y - 26 - 15y = - 4 (5)
16y - 15y = - 20 + 26
y = 6
El valor de y lo sustituyo en el despeje de x
- 13 + 8y - 13 + 8 (6) -13 + 48 35
x = ------------- = ------------------ = -------------- = -------- = 7
5 5 5 5
Solución :
x = 7
y = 6