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Using Cramers rule, solve x-y-2z=1; 2x+3y+4z=4; 3x-2y-6z=5

solution:

D = [112 234 326]

= 1(-18+8)+1(-12-12)-2(-4-9)

=-8

Dx = [112 434 526]

= 1(-18+8) +1(-24-20) -2(-8-15)

= -8

therefore, X=DxD=88=1

Dy = [112 244 356]

=1(-24-20) -1(-12-12)-2(10-12)

=-16

therefore, y = DyD=168=2

Dz = [111 234 325]

=1(15+8) +1(10-12)+1(-4-9)

= 8

therefore, y = DzD=88=1

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