Where A=⎡⎢⎣5−6474−3216⎤⎥⎦,X=⎡⎢⎣xyz⎤⎥⎦,Y=⎡⎢⎣151946⎤⎥⎦A−1=adjA|A|adj(A)=⎡⎢⎣27−48−1−(−40)22−1724362⎤⎥⎦T=⎡⎢⎣27402−482243−1−1762⎤⎥⎦|A|=5(24+3)+6(42+6)+4(7−8)=135+288−4=419
or ⎡⎢⎣xyz⎤⎥⎦=1419×⎡⎢⎣27402−482243−1−1762⎤⎥⎦×⎡⎢⎣151946⎤⎥⎦
or ⎡⎢⎣xyz⎤⎥⎦=1419×⎡⎢⎣125716762514⎤⎥⎦=⎡⎢⎣346⎤⎥⎦∴X=3,Y=4,Z=6