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