Linear Equations Exemplar — Class 9 Mathematics NCERT Solutions (Free)
Free step-by-step NCERT solutions for Class 9 Mathematics chapter "Linear Equations Exemplar" — 5 important questions with detailed answers for CBSE board exam preparation.
TL;DR: Free step-by-step NCERT solutions for Class 9 Mathematics chapter "Linear Equations Exemplar" — 5 important questions with detailed answers for CBSE b…
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Key Questions Covered:
- Solve: 2x/3 - 5 = 1.
- Solve and verify: (x + 2)/(x - 2) = 5/3.
- Solve: 3x - (2x - 1)/2 = 4.
- If 2(x - 3) + 5 = 3(x + 1) - 2, find x.
- Solve: (5x - 1)/2 = (3x + 1)/2 + 1.
Solutions Summary:
| Question | Status |
|---|---|
| Solve: 2x/3 - 5 = 1. | ✓ Solved |
| Solve and verify: (x + 2)/(x - 2) = 5/3. | ✓ Solved |
| Solve: 3x - (2x - 1)/2 = 4. | ✓ Solved |
| If 2(x - 3) + 5 = 3(x + 1) - 2, find x. | ✓ Solved |
| Solve: (5x - 1)/2 = (3x + 1)/2 + 1. | ✓ Solved |
Showing 5 of 5 questions
Q1: Solve: 2x/3 - 5 = 1.
2x/3 = 6. Multiply both sides by 3: 2x = 18. Divide by 2: x = 9.
Q2: Solve and verify: (x + 2)/(x - 2) = 5/3.
Cross multiply: 3(x + 2) = 5(x - 2). Expand: 3x + 6 = 5x - 10. Rearrange: 16 = 2x. So x = 8. Verify: (8 + 2)/(8 - 2) = 10/6 = 5/3. Correct.
Q3: Solve: 3x - (2x - 1)/2 = 4.
Multiply by 2: 6x - (2x - 1) = 8. Simplify: 6x - 2x + 1 = 8. So 4x = 7, giving x = 7/4.
Q4: If 2(x - 3) + 5 = 3(x + 1) - 2, find x.
Expand LHS: 2x - 6 + 5 = 2x - 1. Expand RHS: 3x + 3 - 2 = 3x + 1. So 2x - 1 = 3x + 1. Thus -x = 2, giving x = -2.
Q5: Solve: (5x - 1)/2 = (3x + 1)/2 + 1.
Multiply by 2: 5x - 1 = 3x + 1 + 2 = 3x + 3. So 2x = 4, giving x = 2.
Showing 5 of 5 questions. Visit the full page for complete solutions.
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