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resolver por metodo de igualacion 4x+6y =2 6x+5y =1

Sagot :

4X + 6Y = 2                                           6x + 5y = 1                                                     X = 2 – 6y                                            6X  = 1 – 5y

                  2 – 6y                                          1 – 5Y

       X =     =====                                 X = ========

                    4                                                    6

Igualo

                 2 – 6y           1 – 5Y

                 =====   =   ========

                    4                    6                                              

                                                                                         

6 * (2 – 6y ) = 4 * (1 – 5Y )                                          despejo X

12 – 12Y = 4 – 20 Y                                                            2 – 6y  

-12 Y + 20 Y = 4 – 12                                               X =     =====                                 

              8 Y = -8                                                                4                                                    

               Y = - 8 / 8                                             2 – 6 * -1          2 + 6       8

               Y = -1                                            X = ========== = ====== = ======  = 2

                                                                           4                      4           4

 

     prueba   

    4X + 6Y = 2                                                                                                                     X = 2

    4 * 2 + 6 * -1 = 2

        8 – 6 = 2

             2 = 2