While solving a linear system you reach the row $\;0\;\;0\;\;|\;\,5$ . What has the algebra just told you?

Hints

Translate the row back into an equation about the unknowns.
It reads $0x + 0y = 5$ . Can any choice of $x, y$ arrange that?

Show the answer

D. The system is inconsistent

Why

The row asserts $0 = 5$ , a contradiction, so the original equations demand the impossible (geometrically: parallel lines that never meet). Elimination doesn’t just find solutions; it delivers verdicts about whether solutions exist at all.

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While solving a linear system you reach the row 0 0 ∣ 5\;0\;\;0\;\;|\;\,500∣5. What has the algebra just told you?

Practise Systems of Linear Equations and Gaussian Elimination

More questions on Systems of Linear Equations and Gaussian Elimination

While solving a linear system you reach the row $\;0\;\;0\;\;|\;\,5$ . What has the algebra just told you?