Solve the system of equations. If the system has no solution, say that it is inconsistent.
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A)x = 0, y = 1, z = 0; (0, 1, 0)
B)x = 4, y = 1, z = 0; (4, 1, 0)
C)x = 0, y = 0, z = 1; (0, 0, 1)
D)inconsistent

Question

Solve the system of equations. If the system has no solution, say that it is inconsistent.
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A)x = 0, y = 1, z = 0; (0, 1, 0) 
B)x = 4, y = 1, z = 0; (4, 1, 0) 
C)x = 0, y = 0, z = 1; (0, 0, 1) 
D)inconsistent

Quizplus · Accepted Answer

The system of equations has no solution. This can be seen by adding the first two equations and subtracting the third equation. This gives:
2x + 3y - z = 6
2x + 3y - z = -6
These equations are contradictory, as they cannot both be true at the same time. Therefore, the system has no solution and is inconsistent. There are no values of x, y, and z that can satisfy both equations simultaneously. Therefore, the system is inconsistent.

Solve the System of Equations