Matrix Method: Problems

4x + 4y + 4z = 12
x + 5y + 6z = 16
3x + y + z = 17

4x + y + 4z = 36
3x + 4y + z = 24
1000x + 3y + 2z = 28

2x + 6y + z = 16
x – 4y + 6z = 18
x + y + z = 10

3x + 4y – z = 1
2x + y + z = 3
12x + 12y + 12z = 0

2x – y + z = 17
1/2x + 2y – z = 10
x + 5y – z = 1

2x + 2y + 2z = 13
4x + y – z = 0
2x + 4y – z = 3

5/2x + 1/3y – 3/2z = 0
2x + 3y – z = 9
2x + y + 2z = 7

2x + y + z = 49
3x – z = 0
2x – y = 0

23x + y + z = 6
46x + 2y – z = 3
69x – y – 2z = 5

2x + y – z = 15
2x – y + z = 5
7x + 2y + 2z = 4

2x + 3y – z = 25
x + 4y + z = 25
x – 6y + 5z = 25

2x + 2y + 2z = 120
3x + 3/4y + 3/5z = 150
1/3x + 1/4y + 1/5z = 30

2x + y – z = 12
x + 2y – 2z = 6
3x – y + 4z = 36
Answers
 x = 7, y = 1, z = 3
 x = 0, y = 4, z = 8
 x = 6, y = 0, z = 4
 x = 1, y = 1, z = 0
 x = 10, y = 2, z = 1
 x = 1/2, y = 2, z = 4
 x = 2, y = 3, z = 4
 x = 7, y = 14, z = 21
 x = 1/23, y = 2, z = 3
 x = 2, y = 1, z = 10
 x = 12, y = 2, z = 5
 x = 30, y = 40, z = 50
 x = 6, y = 6, z = 6