Verified answer

Solution: x
= 173/150; y = -13/10; z = -11/3;

(x
, y, z) = (1.1533, -1.3, -3.6667)

Value of Determinant: 150

Inverse of coefficient matrix:

1/5, 1/15, 3/50,

0, 0, 1/10,

0, -1/3, 0,

Quick reminder of how Cramer's rule works

Determinant of the coefficients 5 -3 1

0 2 -3

7 10 0 this comes to 5(30)+3(21)+(-14)=199

x is given by a fraction whose denominator is 199 and the numerator is the determinant of the coefficients BUT replace the coef. of x by the constants

x= 6 -3 1

11 2 -3

-13 10 0 divided by 199

x= 199/199=1

y= 5 6 1

0 11 -3

7 -13 0 divided by 199 y=- 398/199

z= 5 -3 6

0 2 11

7 10 -13 divided by 199 z= - 995/199