problemas sistemas de ecuaciones

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SISTEMAS DE ECUACIONES 1.

3x + 2 y − z = 12  Resolver:  2x + y + 5z = 9  x+y+z =6 

2.

2 x − y + 2 z = 5  Resolver:  x + 2 y = 5  3x + y + z = 10 

3.

4.

5.

6.

 x+y+z = 6  Resolver:  x + 2 y + 5z = 12 x + 4 y + 25z = 36   2x − y + z = 2  x + 3y + z = −6  Resolver:  4 x − 2 y + 2 z = 4 5x + y + 3z = −2 x + y + z = 3 Resolver:   −y+z =0  x + 2 y + 3z = 1  x + 3y + 4 z = 0  Resolver:   x+z =3 2 x − y + 2z = 6

7.

 3x + y = 7  Resolver: 2x + 4 y + 5z = −2  x + y+ z =1 

8.

 3x + 2 y − z = 1  Resolver:  x − 2 y + 4z = 2 3x + 10 y − 14z = 4 

9.

x + y = 7 y + z = 4  Resolver:  z + t = 2  t +s = 7   x + s = 6

 2 x + 3y + z = 2 3x + 2 y + 4z = 13  10. Resolver:  x + 5y − 3z = −13  2x + y − z = 2 2 x + y + z + t = 2 x + 2 y + z + t = 2  11. Resolver:   x + y + 2z + t = 2 x + y + z + 2t = 2  x 1 + 2x 2 + 3x 3 + x 4 − 6 = 0  − x − 3x + x − 2 x + 1 = 0  2 3 4 12. Resolver:  1 3x 1 − x 2 + x 3 − 2 = 0  5x 1 + 4x 2 + 3x 3 + 3x 4 − 9 = 0

 x − y + 2z − t = 0  2x − y + z = 5  13. Resolver:  y − 2 z + 3t = 3  2 x − 3y + 6z − 5t = −3  x − y−z+ t =1  14. Resolver:  2x + y − z − 2t = 0 3x − y − 2z + t = −1   x−y−z+t = 2  15. Resolver:  2x + y − t = 1 x + 5y + 3z − 5t = −4 