Answer
x = 6
y = -2
z = 4
Work Step by Step
| 1 1 1 |
∆ =| 2 -1 -1 |
| 1 -2 3 |
= 1·(-1)·3 + 1·(-1)·1 + 1·2·(-2) - 1·(-1)·1 - 1·(-1)·(-2) - 1·2·3 = -3 - 1 - 4 + 1 - 2 - 6 = -15
| 8 1 1 |
∆1 =| 10 -1 -1 |
| 22 -2 3 |
= 8·(-1)·3 + 1·(-1)·22 + 1·10·(-2) - 1·(-1)·22 - 8·(-1)·(-2) - 1·10·3 = -24 - 22 - 20 + 22 - 16 - 30 = -90
| 1 8 1 |
∆2 =| 2 10 -1 |
| 1 22 3 |
= 1·10·3 + 8·(-1)·1 + 1·2·22 - 1·10·1 - 1·(-1)·22 - 8·2·3 = 30 - 8 + 44 - 10 + 22 - 48 = 30
| 1 1 8 |
∆3 =| 2 -1 10 |
| 1 -2 22 |
= 1·(-1)·22 + 1·10·1 + 8·2·(-2) - 8·(-1)·1 - 1·10·(-2) - 1·2·22 = -22 + 10 - 32 + 8 + 20 - 44 = -60
x = ∆1/∆ = -90/-15 = 6
y = ∆2/∆ = 30/-15 = -2
z = ∆3/∆ = -60/-15 = 4