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Determinants
NCERT Exemplar Class 12
CBSE
Grade 12

Question:

Examine the consistency of the system of equations: $x + 2y = 2$ and $2x + 3y = 3$.

Step-by-Step Solution

Given: Problem statement: Examine the consistency of the system of equations: $x + 2y = 2$ and $2x + 3y = 3$.
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.

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🎯 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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