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Determinants
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
Check whether the system of equations $x + 3y = 5$ and $2x + 6y = 8$ is consistent or inconsistent.
Step-by-Step Solution
Given: Problem statement: Check whether the system of equations $x + 3y = 5$ and $2x + 6y = 8$ is consistent or inconsistent. Step 1: Expand determinant / set up matrix relation: Apply $2 \times 2$ or $3 \times 3$ determinant expansion rules. [1.0 Mark] Step 2: Evaluate final result / solve for unknown: Simplify algebraic terms to obtain final solution. [1.0 Mark] Conclusion: Result evaluated successfully.
--- 🎯 Official CBSE Marking Scheme: Expanding determinant / setting up equation: 1.0 Mark Evaluating correct final value: 1.0 Mark
Correct Answer:
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