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1) x + 2y = 7
2y = 3x + 7y
- 3x + 2y - 7y
- 3x - 5y = 0
1) x + 2y = 7
2) - 3x - 5y = 0
Despejo x en las dos ecuaciones
x + 2y = 7 - 3x - 5y = 0
x = 7 - 2y - 3x = 0 + 5y
x = 7 - 2y x = 0 + 5y
----------- ---------
1 - 3
Igualamos entre sí y multiplicamos en cruz
7 - 2y 0 + 5y
-------- = -----------
1 - 3
- 3 (7 - 2y) = 1 (0 + 5y)
- 21 + 6y = 0 + 5y
6y - 5y = 0 + 21
y = 21
El valor de y reemplazo en cualquiera de los despejes de x
0 + 5y 5 (21) 105
x = ----------- = ---------- = -------- = - 35
- 3 - 3 - 3
Solución :
y = 21
x = - 35