Question

4x-3y=10, y la otra es 2x+5y=11.
En cualquier sistema de ecuacion por favor

Answer 1

Método de Igualación
4x - 3y = 10                                              2x + 5y = 11

4x = 3y + 10                                             2x = -5y + 11

x = (3y+10)/4                                             x = (-5y+11)/2

 

                      (3y+10)/4     =   (-5y+11)/2

                      2(3y+10)     = 4 (-5y+11)

                      6y + 20 = -20y + 44

                      6y+20y = -20 +44

                            26y = 24

                                y = 24/26

                                y= 12/13    <---------------------------------Solución

 

x= (3y+10)/4 = (3*12/13 + 10)/4 = (36/13 + 10)/4 = (166/13)/4 = 83/26

x= 83/26  <-----------------------------------------------------------Solución

Verificación

4x -3y=10

4*(83/26)-3*(12/13) = 166/13 - 36/13 = 130/13 = 10  OK