Pair Linear Equations Exemplar — Class 10 Mathematics NCERT Solutions (Free)
Free step-by-step NCERT solutions for Class 10 Mathematics chapter "Pair Linear Equations Exemplar" — 5 important questions with detailed answers for CBSE board exam preparation.
TL;DR: Free step-by-step NCERT solutions for Class 10 Mathematics chapter "Pair Linear Equations Exemplar" — 5 important questions with detailed answers for…
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Key Questions Covered:
- Solve graphically: x + y = 4 and 2x - y = 2.
- Solve using elimination: 3x + 2y = 8 and 5x - 2y = 4.
- Solve using substitution: x + 2y = 7 and 2x - y = 4.
- For what value of k does the system 2x + 3y = 5 and kx + 6y = 10 have infinit…
- Two angles are supplementary. If one is 20° more than the other, find both an…
Solutions Summary:
| Question | Status |
|---|---|
| Solve graphically: x + y = 4 and 2x - y = 2. | ✓ Solved |
| Solve using elimination: 3x + 2y = 8 and 5x - 2y = 4. | ✓ Solved |
| Solve using substitution: x + 2y = 7 and 2x - y = 4. | ✓ Solved |
| For what value of k does the system 2x + 3y = 5 and kx + … | ✓ Solved |
| Two angles are supplementary. If one is 20° more than the… | ✓ Solved |
Showing 5 of 5 questions
Q1: Solve graphically: x + y = 4 and 2x - y = 2.
From x + y = 4: y = 4 - x. Points: (0,4), (4,0). From 2x - y = 2: y = 2x - 2. Points: (0,-2), (1,0). Lines intersect at (2,2). Solution: x = 2, y = 2.
Q2: Solve using elimination: 3x + 2y = 8 and 5x - 2y = 4.
Add equations: 8x = 12, so x = 3/2. Substitute: 3(3/2) + 2y = 8. So 9/2 + 2y = 8, giving 2y = 7/2, thus y = 7/4.
Q3: Solve using substitution: x + 2y = 7 and 2x - y = 4.
From first: x = 7 - 2y. Substitute in second: 2(7 - 2y) - y = 4. So 14 - 4y - y = 4, giving 5y = 10, thus y = 2. Then x = 7 - 4 = 3.
Q4: For what value of k does the system 2x + 3y = 5 and kx + 6y = 10 have infinite solutions?
For infinite solutions: a1/a2 = b1/b2 = c1/c2. So 2/k = 3/6 = 5/10. From 3/6 = 1/2, we need 2/k = 1/2, thus k = 4.
Q5: Two angles are supplementary. If one is 20° more than the other, find both angles.
Let angles be x and x + 20. Since supplementary: x + (x + 20) = 180. So 2x + 20 = 180, giving x = 80. Angles are 80° and 100°.
Showing 5 of 5 questions. Visit the full page for complete solutions.
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