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Ganita Manjari · Class 9 · Chapter 13

Ganita Manjari Class 9 Maths Chapter 13 Two Variables, One Line Solutions

Solutions for every exercise of this chapter, with each question worked step by step.

Chapter 13 Two Variables, One Line: key results and formulas

  • Standard form: ax + by + c = 0, with a and b not both zero. It has infinitely many solutions.
  • Slope = riserun = y2 − y1x2 − x1. In y = mx + d, m is the slope and d the y-intercept.
  • For a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0: if a1a2 ≠ b1b2 there is one solution; if all three ratios are equal there are infinitely many; if the first two are equal and the third differs there is none.
  • Solve by substitution, by elimination, or graphically (the point where the two lines meet).

Exercises in this chapter

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