Matematika Sekolah Menengah Atas 2x+4y-3z=1
4x+5-2x=8
-x+4y+z=6

2x+4y-3z=1
4x+5-2x=8
-x+4y+z=6

Jawab:

Penjelasan dengan langkah-langkah:

2x + 4y - 3z = 1 ...............( 1 )

4x + 5y - 2z = 8 ...............( 2 )

-x + 4y + z = 6    ...............( 3 )

Persamaan ( 3 ) dikalikan 2

-2x + 8y + 2z = 12

 2x + 4y - 3z = 1 ...............( 1 )

------------------------------------------ +

      12y - z = 13 ................( 4 )

Persamaan ( 1 ) dikalikan 2

4x + 8y - 6z = 2

4x + 5y - 2z = 8 ...............( 2 )

--------------------------------------------- -

       3y - 4z = - 6 .............( 5 )

Perhatikan  pers ( 4 ) dan ( 5 )

12y - z = 13 ................( 4 )

3y - 4z = - 6 ..............( 5 )

Persamaan ( 5 ) dikalikan 4

12y - 16z = - 24

12y - z = 13 ................( 4 )

---------------------------------------- -

     - 15z = -37

          z = 37/15

          y = 58/45

          x = 613/45

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