Question

Resuelva los siguientes ejercicios sistemáticos. ayuda!!

Answer 1

14) Resolver los siguientes sistemas :

a) 3x - y + 5z = 2

-7y + z = 7

2z =0

2z =0

z = 0/2

z = 0

-7y + 0 = 7

y = 7/-7

y =- 1

3x - y + 5z = 2

3x -(- 1) + 5 *0 = 2

3x = 2 -1

x = 1/3

Solución : x = 1 /3 y = - 1 z = 0

b ) x + 3y - 2z = 4

3x + 2y + z = 7

4x + 4y + 2z = 0

( 3x + 2y + z = 7 ) * 2

6x + 4y + 2z = 14

x + 3y - 2z = 4 +

_______________

7x + 7y = 18

( 3x + 2y + z = 7 ) * -2

-6x - 4y - 2z = -14

4x + 4y + 2z =0 +

___________________

-2x = -14

x = -14/-2

x = 7

7x+ 7y =18

7*7 + 7y = 18

7y = 18 -49

7y = -31

y = -31/7

4x + 4y + 2z = 0

4 * 7 + 4 *( -31/7) + 2z =0

28 - 124 / 7 + 2Z =0

2Z = -72/7

Z = -72/7/2

z = -36/7

La solución es :

x = 7 y = -31/7 z = - 36/7