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1) 5x + 4y = 22
2) - x + 4y = 10
Despejo x en las dos ecuaciones
5x + 4y = 22 - x + 4y = 10
5x = 22 - 4y - x = 10 - 4y
x = (22 - 4y)/5 x = (10 - 4y)/-1
Igualamos las dos ecuaciones y multiplicamos en cruz.
(22 - 4y)/5 = (10 - 4y)/-1
- 1 (22 - 4y) = 5 (10 - 4y)
- 22 + 4y = 50 - 20y
4y + 20y = 50 + 22
24y = 72
y = 72/24
y = 3
El valor de y lo reemplazamos en uno de los despeje de x
x = (22 - 4y)/5
x = (22 - 4 (3))/5
x = (22 - 12)/5
x = 10/5
x = 2
Respuesta.
x = 2
y = 3