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1) 7x - 4y = 5 (8)
2) 9x + 8y = 13 (4)
56x - 32y = 40
36x + 32y = 52
----------------------
92x + 0y = 92
92x = 92
x = 92/92
x = 1
El valor de x lo reemplazo en ecuación 1
7x - 4y = 5
7 (1) - 4y = 5
7 - 4y = 5
- 4y = 5 - 7
- 4y = - 2
y = - 2/-4
y = 1/2
Solución :
x = 1
y = 1/2
Metodo de Reduccion.
7x - 4y = 5 (1)
9x + 8y = 13 (2)
Multiplicas (1) por 2
(7x - 4y = 5) * 2
14x - 8y = 10 Le sumas (2)
9x - 8y = 13
-------------------
23x = 23
x = 23/23
x = 1 Reemplazas este valor en (1)
7x - 4y = 5
7(1) - 4y = 5
7 - 5 = 4y
2 = 4y
2/4 = y Simplificas
1/2 = y
Solucion.
El punto ( 1 , 1/2)