Question

Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method. Write all numbers as integers or simplified fractions.

7x + 6y + 4z = 10
3x + 3y + 3z - 1
4x + 4y + 4z = 2
Part: 0/2
Part 1 of 2
Evaluate the determinants D, Dx Dy and Dz.
D=
Dx=
Dy=
Dz=

Answer 1

D = 0 , Dx = 4 , Dy = -6 , Dz = 2

Explanation:

As per cramer's rule,

D = | 7 6 4 | = 0

| 3 3 3 |

| 4 4 4 |

Dx = | 10 6 4 | = 4

| 1 3 3 |

| 2 4 4 |

Dy = | 7 10 4 | = -6

| 3 1 3 |

| 4 2 4 |

Dz = | 7 6 10 | = 2

| 3 3 1 |

| 4 4 2 |