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Consider the graph of the equation 3x – 7y = 21 shown below. Does the point C (2, 3) lie on the line? Does it satisfy the equation? Can points that do not lie on the line satisfy the equation?

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Point C (2, 3) does not lie on the line and does not satisfy the equation, since 3(2) – 7(3) = -15 ≠ 21. Points not on the line can never satisfy the equation.

Ganita Manjari part 2 Chapter 13.2 Solutions
Class 9 Ganita Manjari Part 2 Chapter 13 Page 93 Question Answer

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  1. Point C (2, 3) clearly does not lie on the graphed line. Substituting x = 2 and y = 3 gives LHS = 3(2) – 7(3) = 6 – 21 = -15, which does not equal 21 (RHS). Therefore, it does not satisfy the equation. Geometrically, every solution corresponds strictly to a point on the line; hence, points not lying on the line cannot satisfy the equation.

     

    For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/

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