MTA_1_Grupo 7

MTA 01 – GRUPO 07

Integrantes:

Huari Ramos, Eder Mejía Chacón, Marcos Palomino Zaira, Jimmy Ramos Rodríguez, Nadia Vanessa

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Pregunta 1

Determine el conjunto solución del sistema:

(2) 2x - 3y + z = 10

3x + y – 2z = -1_____________

4x – 6y + 2z = 203x + y – 2z = -1______________

7x – 5y = 19

( 3) 3x + y – 2z = -1(-2) x + 2y – 3z = -9

_____________

9x + 3y - 6z = -3-2x – 4y + 6z = 18______________

7x – y = 15

7x - 5y = 19 (-1) 7x – y = 15_________________-4y = 4y = -1

Reemplazando:

7x – 5y = 197x + 5 = 197x = 14x = 2

2x – 3y + z = 104 + 3 + z = 10z = 3

A.B.C.D.

http://www.codecogs.com/eqnedit.php?latex=%5Cleft%5C%7B%5Cbegin%7Bmatrix%7D2x-3y+z=10&space;%5C%5C&space;3x+y-2z=-1&space;%5C%5C&space;x+2y-3z=-9&space;%5Cend%7Bmatrix%7D%5Cright.

http://www.codecogs.com/eqnedit.php?latex=CS=%5Cleft&space;%5C%7B&space;%5Cleft&space;(&space;-1;2;3&space;%5Cright&space;)&space;%5Cright&space;%5C%7D

http://www.codecogs.com/eqnedit.php?latex=CS=%5Cleft&space;%5C%7B&space;%5Cleft&space;(&space;-2;3;-1&space;%5Cright&space;)&space;%5Cright&space;%5C%7D

http://www.codecogs.com/eqnedit.php?latex=CS=%5Cleft&space;%5C%7B&space;%5Cleft&space;(&space;2;-1;3&space;%5Cright&space;)&space;%5Cright&space;%5C%7D

http://www.codecogs.com/eqnedit.php?latex=CS=%5Cleft&space;%5C%7B&space;%5Cleft&space;(&space;2;3;-1&space;%5Cright&space;)&space;%5Cright&space;%5C%7D

Por lo tanto, el CS = {(2;-1;3)}

Pregunta 2

Si el conjunto solución del sistema es calcule a + b.

A. 11/2B. -5/2C. -11/2D. -8

ax + by = 3ax – by = 19__________

2a + b = 32a – b = 19 __________

4a = 222a = 11

a = 11 2

Reemplazando:

2a + b = 311 + b = 3 b = -8

Calculando a + b:

11 – 8 = 11 – 16 = - 5 2 2 2

http://www.codecogs.com/eqnedit.php?latex=%5Cleft%5C%7B%5Cbegin%7Bmatrix%7Dax+by=3&space;&&space;%5C%5C&space;ax-by=19&space;&&space;%5Cend%7Bmatrix%7D%5Cright.

http://www.codecogs.com/eqnedit.php?latex=%5Cleft&space;%5C%7B&space;%5Cleft&space;(&space;2;1&space;%5Cright&space;)&space;%5Cright&space;%5C%7D

Por lo tanto a + b = - 5 2

Documents

MTA_1_Grupo 7