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1) 5x - 8y = - 13
2) 2x - 3y = 2
Despejo x en 1
5x - 8y = - 13
5x = - 13 + 8y
x = - 13 + 8y
--------------
5
Sustituyo x en 2
2x - 3y = 2
2 (- 13 + 8y)/5 - 3y = 2
2 (8y - 13) - 5 * 3y
------------------------ = 2
5
16y - 26 - 15y = 2 (5)
16y - 15y = 10 + 26
y = 36
El valor de y sustituyo en el despeje de x
x = - 13 + 8y - 13 + 8 (36) - 13 + 288 275
-------------- = --------------------- = ----------------- = ---------- = 55
5 5 5 5
Solución :
x = 55
y = 36