The augmented matrix for the set of equations is:
⎣⎡2−1132−112−221−1⎦⎤
Rearranging the rows:
⎣⎡12−1−132−212−121⎦⎤
Multiply the first row by -2 and add it to the second row:
⎣⎡10−1−152−252−141⎦⎤
Add the first row to the third row:
⎣⎡100−151−250−140⎦⎤
The third row translates to:
y=0
Therefore, the second row translates to:
5z=4
z=4/5
The first row then translates to:
x−2(4/5)=−1
x−8/5=−1
x=−1+8/5
x=3/5
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