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…
Written & reviewed by the Syllab.in Academic Team (CBSE/NCERT subject experts) · Updated
NCERT Solutions for Class 9 Mathematics — Linear Equations Exemplar. Step-by-step answers to all 5 textbook questions from this chapter, written for CBSE board preparation and free to use.
Linear Equations Exemplar — All 5 Questions Solved
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.
How to Use These Solutions
Attempt each question yourself first and only then compare with the worked answer. Marks in the CBSE board exam are awarded for the METHOD as much as the final result, so reproduce the steps rather than memorising the last line. Where a solution states a law, a formula or a definition, learn that wording — examiners look for it.
Related practice for this chapter: chapter MCQs, previous-year questions, revision notes and sample papers.