Linear Equations in Two Variables — Class 9 Mathematics NCERT Solutions (Free)
Free step-by-step NCERT solutions for Class 9 Mathematics chapter "Linear Equations in Two Variables" — 8 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 in Two Variables" — 8 important questions with detailed answers fo…
By Syllab.in · Updated
Key Questions Covered:
- Find four solutions of the linear equation 2x + 3y = 12.
- Solve the system of equations: 2x + y = 7 and x - y = 2
- Express 2x + 3y - 6 = 0 in the form y = mx + c and identify the slope and y-i…
- + 5 more questions in the full chapter
Solutions Summary:
| Question | Status |
|---|---|
| Find four solutions of the linear equation 2x + 3y = 12. | ✓ Solved |
| Solve the system of equations: 2x + y = 7 and x - y = 2 | ✓ Solved |
| Express 2x + 3y - 6 = 0 in the form y = mx + c and identi… | ✓ Solved |
Showing 3 of 8 questions
Q1: Find four solutions of the linear equation 2x + 3y = 12.
Equation: 2x + 3y = 12
Method: Choose values for x and solve for y (or vice versa).
Solution 1: Let x = 0
2(0) + 3y = 12
3y = 12
y = 4
Solution: (0, 4)
Solution 2: Let x = 3
2(3) + 3y = 12
6 + 3y = 12
3y = 6
y = 2
Solution: (3, 2)
Solution 3: Let x = 6
2(6) + 3y = 12
12 + 3y = 12
3y = 0
y = 0
So...
Q2: Solve the system of equations: 2x + y = 7 and x - y = 2
Equations:
2x + y = 7 ... (1)
x - y = 2 ... (2)
Method: Elimination
Step 1: Add equations (1) and (2) to eliminate y
(2x + y) + (x - y) = 7 + 2
3x = 9
Step 2: Solve for x
x = 9/3 = 3
Step 3: Substitute x = 3 in equation (2)
3 - y = 2
y = 3 - 2 = 1
Step 4: Verify solution in both equations
Equat...
Q3: Express 2x + 3y - 6 = 0 in the form y = mx + c and identify the slope and y-intercept.
Equation: 2x + 3y - 6 = 0
Step 1: Solve for y
3y = -2x + 6
y = -2x/3 + 6/3
y = (-2/3)x + 2
Step 2: Compare with y = mx + c
This is in the form y = mx + c where:
m = -2/3 (slope)
c = 2 (y-intercept)
Step 3: Interpret the slope
Slope m = -2/3 < 0, so the line is falling (decreasing from left to ...
Showing 3 of 8 questions. Visit the full page for complete solutions.