Question

Resolver ecuaciones por el método de igualación
3x -2y = -2
5x +9y = 60

Answer 1

3X - 2Y = -2 (1)

5X + 9Y = 60 (2)

En (1)

3X = 2Y - 2

X = 2Y/3 - 2/3

En (2)

5X + 9Y = 60

X = 60/5 - 9Y/5

X = 12 - 9Y/5

X = X:

2Y/3 - 2/3 = 12 - 9Y/5

2Y/3 + 9Y/5 = 12 + 2/3

2Y/3 + 9Y/5 = [5(2Y) + 3(9Y)]/15 = [10Y + 27Y]/15 = 37Y/15

12 + 2/3 = 36/3 + 2/3 = 38/3

37Y/15 = 38/3

37Y/5 = 38

37Y = (5)(38)

37Y = 190

Y = 190/37

Ahora reemplazo Y en X = 12 - 9Y/5

X = 12 - 9(190/37)/5  

X = 12 - (9*38)/37

X = 12 - 342/37

X = 444/37 - 342/37

X = 102/37

Rta: X = 102/37, Y = 190/37