Step 1
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Consider the following system of linear equations:
2x−3y+7z=5
3x+y−3z=13
2x+19y−47z=32
Rewrite the system of equations in augmented matrix form:
Step 2
=2(-47+57)+3(-141+6)+7(57-2)
D=20 - 405 + 385
=0
Step 3
=5(-47+57)+3(-611+96)+7(247-32)
=10
D=0 and .
Hence, the system of equations is inconsistent.
Hence, the system of equations has no solution.