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resolver el sistema de ecuaciones por metodo de sustitucion igualacion y eliminacion

 

4x+2y=9

5x-4y=5

Sagot :

4x+2y=9 y 5x-4y=5   ya resuelto  x=23/13     y=25/26

 

 

 

                   

 

 

 

 

4x + 2 y = 9 despejo 

 

       9- 2Y                        9 -2 Y        5 + 4 Y                                     5 + 4 Y

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

        4                                 4              5                                             5

 

                                      5 * ( 9 - 2 Y ) = 4 * ( 5 + 4 Y )

  5 X - 4 Y = 5                                                                                  5 + 4 * 25/26

                                         45 - 10 Y = 20 +16 Y                        X =   ===========

       5 + 4 Y                                                                                           5

X = =======                         - 10 y - 16 Y = 20 - 45

         5

                                               - 26 Y = -25                                      5 + 100/26

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

igualo                                           Y = -25/-26                                       5

                                                   Y = 25/26

                                                                                                       5 + 50/13

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

                                                                                                             5

                                                                                                         118

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

                                                                                                           65