SOLUTION: Solving using matrices: 3x+5y+2z=3 -x-y-z=-2 2x-2y+5z=11

Question 220249: Solving using matrices:
3x+5y+2z=3
-x-y-z=-2
2x-2y+5z=11
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
3x+5y+2z=3
-x-y-z=-2
2x-2y+5z=11
------------
Det:
3(-5-2) -5(-5+2) + 2(2+2) = -21 + 15 + 8
Det = 2
--------
x:
5(-11+10) - 2(-11-4) + 3(-5-2) = -5 + 30 - 21 = 4
x = 4/Det = 4/2
x = 2
------
-y:
3(-11+10) -2(-11+4) +3(-5+2) = -3 +14 -9 = 2
y = -1
------
z:
3(-11-4) -5(-11+4) + 3(2+2) = -45 +35 +12 = 2
z = 1
---------
3x+5y+2z=3 --> 6 - 5 + 2 = 3
-x-y-z=-2 ---> -2 + 1 - 1 = -2
2x-2y+5z=11 --> 4 + 2 + 5 = 11
It checks
Any questions, email me at gsihoutx@aol.com
RELATED QUESTIONS
2) Solve the following linear system using matrices: 2x-y+3z=-4... (answered by Fombitz)

2x +y - z=4,3x +5y +z=16,x-2y-5z=3. x+2y+z=4,x+3y-2z=2 , 3x +y+2z =6 c (answered by Alan3354)

solve system using matrices x-5y+3z=9, 2x-y+4 z=6,... (answered by Fombitz)

solve using matrices x-2y+4z=-8 2x+2y-z=11... (answered by pie90010)

Solve using matrices please x+y+z=9 3x-y+z=-1... (answered by jsmallt9)

2x-3y+z=2 x-5y+5z=3 3x+y=3z=5 This is a matrices problem I am having difficutl... (answered by stanbon)

How do you solve x+2y+3z=11, x+y+z=5, 2x+2y+z=3 using Matrices (Row... (answered by richwmiller)

Solve. If the system's equations are dependent or it there is no solution, state this. (answered by Alan3354)

Solve. If the system's equations are dependent or it there is no solution, state this. (answered by solver91311)