This system has no solution. Here, a₁/a₂ = 1/3 and b₁/b₂ = -1/(-3) = 1/3, but c₁/c₂ = -8/(-16) = 1/2. Because the lines are parallel, they never intersect.
Cbse released Class 9 Ganita Manjari Part 2 book
Chapter 13 Two Variables, One Line (Ganita Manjari 2) Solutions
This pair of equations has no solution. Evaluating the ratios gives a₁/a₂ = 1/3, b₁/b₂ = 1/3 and c₁/c₂ = 1/2. Because a₁/a₂ = b₁/b₂ ≠ c₁/c₂, the lines share the exact same slope of 1 but possess different y-intercepts. When plotted on a Cartesian plane, they form two distinct parallel lines that never cross, leaving zero common points.
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/