It has a unique solution because a₁/a₂ = 2/4 = 1/2 ≠ b₁/b₂ = 1/(-2) = -1/2. Graphing the lines y = 6 – 2x and y = 2x – 2 shows they intersect at (2, 2).
Class 9 Maths (Ganita Manjari part two) Chapter 13 questions answer
Class 9 Maths (Ganita Manjari part two) Two Variables, One Line Question Answer
This system has a unique solution because a₁/a₂ = 2/4 = 1/2 while b₁/b₂ = 1/(-2) = -1/2, satisfying a₁/a₂ ≠ b₁/b₂. The line 2x + y = 6 passes through (0, 6) and (3, 0), while 4x – 2y = 4 passes through (0, -2) and (1, 0). Plotting them on graph paper shows their intersection occurs at (2, 2), which is the common solution.
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