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8x - 5 = 7y - 9
8x - 7y = - 9 + 5
8x - 7y = - 4
1) 8x - 7y = - 4
2) 6x - 3y = 6
Despejo x en las dos ecuaciones.
8x - 7y = - 4 6x - 3y = 6
8x = - 4 + 7y 6x = 6 + 3y
x = - 4 + 7y x = 6 + 3y
---------- ---------
8 6
Igualamos las dos ecuaciones eliminado x para hallar y.
- 4 + 7y 6 + 3y
---------- = ----------
8 6
6 (- 4 + 7y) = 8 (6 + 3y)
- 24 + 42y = 48 + 24y
42y - 24y = 48 + 24
18y = 72
y = 72/18
y = 4
Reemplazo y = 4 en cualquiera de los despeje de x.
6 + 3y 6 + 3 (4) 6 + 12 18
x = --------- = -------------- = ----------- = -------- = 3
6 6 6 6
Solución :
x = 3
y = 4
---------------------------------------------------------------
1) x + 6y = 27
2) 7x - 3y = 9
Despejo x en las dos ecuaciones.
x + 6y = 27 7x - 3y = 9
x = 27 - 6y 7x = 9 + 3y
----------
1 x = 9 + 3y
-----------
7
Igualamos las dos ecuaciones eliminado x para hallar y.
27 - 6y 9 + 3y
--------- = -----------
1 7
7 (27 - 6y) = 1 (9 + 3y)
189 - 42y = 9 + 3y
- 42y - 3y = 9 - 189
- 45y = - 180
y = -180/-45
y = 4
Reemplazo y = 4 en ecuación 2.
7x - 3y = 9
7x - 3 (4) = 9
7x - 12 = 9
7x = 9 + 12
7x = 21
x = 21/7
x = 3
Solución :
x = 3
y = 4