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CBSE Maths · Class 9

Chapter 4: Linear Equations in Two Variables

Name: ________________________
Date: ______________
Marks: ____ / 10

Solutions of linear equations; every linear equation in two variables represents a straight line.

Questions

  1. Two solutions of 2x+y=72x + y = 7.
  2. Find kk if (2,3)(2, -3) satisfies 3x+ky=33x + ky = 3.
  3. xx-intercept of 3x4y=123x - 4y = 12.
  4. Draw x+y=4x + y = 4; give two points.
  5. Find a solution of x2y=4x - 2y = 4.
  6. Slope of y=2x+5y = 2x + 5.
  7. Line parallel to xx-axis at y=3y = -3: equation?
  8. Taxi fare =20+5x= 20 + 5x: total after 88 km?
  9. Write 2x5y=102x - 5y = 10 in intercept form.
  10. Is (1,1)(1, 1) on 2x+3y=52x + 3y = 5?

Extra Practice (Optional)

  • Give three solutions of y=2x+1y = 2x + 1.
  • Find cc if (1,3)(1, 3) lies on y=2x+cy = 2x + c.
  • Slope of the line joining (2,3)(2, 3) and (4,7)(4, 7).
  • Graph 3x+2y=63x + 2y = 6.
  • Distance travelled at 5050 km/h in tt hours as an equation.

Answer Key (For Teachers)

  1. Answer: (0,7),  (1,5)(0, 7),\; (1, 5).
    Working: Try x=0,1x = 0, 1.
  2. Answer: k=1k = 1.
    Working: 63k=36 - 3k = 3.
  3. Answer: 44.
    Working: Put y=0y = 0.
  4. Answer: (0,4),(4,0)(0,4),(4,0).
    Working: Intercepts.
  5. Answer: (4,0)(4, 0).
    Working: y=0x=4y = 0 \Rightarrow x = 4.
  6. Answer: 22.
    Working: Coeff of xx.
  7. Answer: y=3y = -3.
    Working: y=3y = -3.
  8. Answer: 6060.
    Working: y=20+58y = 20 + 5\cdot 8.
  9. Answer: x/5+y/(2)=1x/5 + y/(-2) = 1.
    Working: Divide by 1010: x/5y/2=1x/5 - y/2 = 1.
  10. Answer: Yes.
    Working: 2+3=52 + 3 = 5.
Gyaan Maths · CBSE Class 9 · Chapter 4
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026