Question

Cual es la solucion de la siguente ecuacion de igualacion
4x+2y=5
5x=3y-2

Answer 1

4x+2y=5
5x=3y-2

1) 4x+2y = 5
    4x = 5 -2y
      x = (5-2y)/4

2) 5x = 3y-2
      x = (3y-2)/5

Igualando las dos ecuaciones:

(5-2y)/4 = (3y-2)/5 ;  resolviendo:
5(5-2y) = 4(3y-2)
25-10y = 12y -8
25+8 = 12y + 10y
22y = 33
y = 33/22; simplificando 11
y = 3/2

Calculando x
x = (5-2y)/4
x = [5-2*(3/2)]/4
x = [5-3]/4
x = 2/4
x = 1/2