Solve the following sets of equations using Cramer's rule and remark about theit consistency (a) x + y + - Maths - Determinants

Question

Solve the following sets of equations using Cramer's rule and
remark about theit consistency
(a) x + y + z - 6 = 0
2x + y - z - 1 = 0
x + y - 2z + 3 = 0

(b) x + 2y + z = 1
3x + y + z = 6
x + 2y = 0

(c) x - 3y + z = 2
3x + y + z = 6
5x + y + 3z = 3

(d) 7x - 7y + 5z = 3
3x + y + 5z = 7
2x + 3y + 5z = 5

Anupam Sharma · Accepted Answer

Dear Student,

x+y+z=62x+y-z=1x+y-2z=-3D=11121-111-2=1-2+1-1-4+1+12-1=-1+3+1=3D1=61111-1-31-2=6-2+1-1-2-3+11+3=-6+5+4=3D2=16121-11-3-2=1-2-3-6-4+1+1-6-1=-5+18-7=6D3=11621111-3=1-3-1-1-6-1+62-1=-4+7+6=9x=D1D=33=1y=D2D=63=2z=D3D=93=3

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