Solve the system of equations

Question

x+2y-z=-12

2x+7y+4z=-33

x+3y+z=-15

 

section 3.3.13

Answer 1

X +2Y -z = 12

2X +7Y +4z = - 33

X + 3Y + Z = -15

 

Add equation 1 & 3:

 

  2X + 5Y = -3

 

  Add  4 times 1st from 2nd:

 

     2X + 7Y + 4Z = -33

   4(X  + 2Y -Z = 12)

     6X + 15Y = 3

 

    2X + 5y = -3

    6X +15Y = 3

 

   This equation has no solution.