Here, a₁/a₂ = 5/7 and b₁/b₂ = -4/6 = -2/3. Since a₁/a₂ ≠ b₁/b₂, the system possesses a unique solution, meaning the lines intersect at a single point.
Class 9 Maths (Ganita Manjari part two) Chapter 13 questions answer
Class 9 Maths (Ganita Manjari part two) Two Variables, One Line Question Answer
Comparing the coefficients with the standard form gives a₁ = 5, b₁ = -4, c₁ = 8 and a₂ = 7, b₂ = 6, c₂ = -9. Computing the ratios yields a₁/a₂ = 5/7 and b₁/b₂ = -4/6 = -2/3. Because a₁/a₂ ≠ b₁/b₂, the lines have different slopes and therefore intersect at exactly one point, representing a unique solution.
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