1.
⎝⎛300252108112156−123109330121∣∣∣521738106⎠⎞
divide the 1 row by 300:
⎝⎛125210828/75156−123109/300330121∣∣∣521/300738106⎠⎞
multiply 1 row by 252 and subtract it from 2 row; multiply 1 row by 108 and subtract it from 3 row:
⎝⎛10028/7561.92−163.32109/300238.4481.76∣∣∣521/300300.36−81.56⎠⎞
divide the 2 row by 61.92:
⎝⎛10028/751−163.32109/3001987/51681.76∣∣∣521/3002503/516−81.56⎠⎞
multiply 2 row by 28/75 and subtract it from 1 row; (multiply 2 row by 163.32 and add it to 3 row:
⎝⎛100010−1663/15481987/516122235/172∣∣∣−115/15482503/516122235/172⎠⎞
divide the 3 row by 122235/172:
⎝⎛100010−1663/15481987/5161∣∣∣−115/15482503/5161⎠⎞
(multiply 3 row by 1663/1548 and add it to 1 row; multiply 3 row by 1987/516 and subtract it from 2 row:
⎝⎛100010001∣∣∣111⎠⎞
x1=x2=x3=1
2.
⎝⎛124130155∣∣∣582⎠⎞
multiply 1 row by 2 and subtract it from 2 row; multiply 1 row by 4 and subtract it from 3 row:
⎝⎛10011−4131∣∣∣5−2−18⎠⎞
multiply 2 row by 1 and subtract it from 1 row; multiply 2 row by 4 and add it to 3 row:
⎝⎛100010−2313∣∣∣7−2−26⎠⎞
divide the 3 row by 13:
⎝⎛100010−231∣∣∣7−2−2⎠⎞
multiply 3 row by 2 and add it to 1 row; multiply 3 row by 3 and subtract it from 2 row:
⎝⎛100010001∣∣∣34−2⎠⎞
x=3,y=4,z=−2
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