Pair of Linear Equations in Two Variables · Class 10 Mathematics · Chapter 3
📐 Pair of Linear Equations in Two Variables
CBSE Class 10 · Mathematics · Chapter 3
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| 45% | Word problem (age / boat / fraction / digit / work) — set up + solve — Define x,y in the first line. Translate each English sentence to one equation. Solve by elimination. Verify in plain English. | 4 MARKS |
| 25% | Solve a given pair by substitution or elimination — Pick the simpler-coefficient equation. Substitute or scale-and-add. Always verify. | 3 MARKS |
| 18% | Find k for unique / no / infinite solutions — Write LHS = 0 form (mind the c-sign). Compare a₁/a₂, b₁/b₂, c₁/c₂. Pick the condition that matches the question's wording. | 2 MARKS |
| 8% | Graphical method — draw both lines and read the intersection — Make a 3-point table for each line. Plot. Read solution from intersection. State the answer. | 3 MARKS |
| 4% | Identify nature (unique/no/infinite) without solving — Just compute the three ratios. Don't solve the system. | 1 MARKS |
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