SOLUTION: Solve the system of equations to the right using matrices. Use Gaussian elimination with back substitution or Gauss Jordan elimination.
x + y + z= 9
x - y - z= -7
x -y + z = 1
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Question 306818: Solve the system of equations to the right using matrices. Use Gaussian elimination with back substitution or Gauss Jordan elimination.
x + y + z= 9
x - y - z= -7
x -y + z = 1
The solution set is [_, _, _]
Found 2 solutions by JBarnum, richwmiller:
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
by now you should know the elimination method, because that is what u need to know to solve this problem, the first 2 equations are perfect, so lets add them together
solve for x
divide by 2
take the second 2 equations and solve for y
_ _ _ _ _ _ _
add the equations together
_ _ _ _ _ _ _
The solution set is [1,-2,10]
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
add down (-1/1) *row 1 to row 2
1,1,1,9
0,-2,-2,-16
1,-1,1,1
add down (-1/1) *row 1 to row 3
1,1,1,9
0,-2,-2,-16
0,-2,0,-8
divide row 2 by -2/1
1,1,1,9
0,1,1,8
0,-2,0,-8
add down (2/1) *row 2 to row 3
1,1,1,9
0,1,1,8
0,0,2,8
divide row 3 by 2/1
1,1,1,9
0,1,1,8
0,0,1,4
add up (-1/1) *row 3 to row 2
1,1,1,9
0,1,0,4
0,0,1,4
add up (-1/1) *row 3 to row 1
1,1,0,5
0,1,0,4
0,0,1,4
add up (-1/1) *row 2 to row 1
1,0,0,1
0,1,0,4
0,0,1,4
final
1,0,0,1
0,1,0,4
0,0,1,4
x=1 y=4 z=4
(1,4,4)
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