### 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