Diketahui sistem persamaan

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3x+2y=9
4x-z=2
y+3z=9
Tentukan penyelesaian sistem persamaan tersebut

Diketahui sistem persamaan

3x = 9-2y

x = (9-2y)/3

x = 3-2/3y

4x-z = 2

4(3-2/3y) – z = 2

12-8/3y -z = 2

-8/3y-z= 2-12

8/3y+z = 8

y+3z =9 x1

8/3y+z = 8 x3

y+3z = 9

8y+3z = 24

—————— –

-7y = -15

  • y = 15/7
  • x = 3-3/2(15/7) = 3-45/14 = 3-3 3/14 = 3/14
  • y+3z = 9

= 15/7+ 3z = 9

= 3z = 9-15/7

= 3z = (63-15)/7

=3z = 48/7

= z = (7 x 3)/48

= z = 21/48

= z = 7/16