This pair has no solution. Here a₁/a₂ = 2/4 = 1/2, b₁/b₂ = -2/(-4) = 1/2, but c₁/c₂ = -2/(-5) = 2/5. Since the slopes match with differing constants, the plotted lines are parallel. Ganita Manjari Class 9 Maths part 2 ...
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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 ...
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 ...
It has infinitely many solutions. Dividing the second equation by 2 gives x + y = 5, identical to the first. Graphically, both equations form coincident lines; every point like (0, 5) or (5, 0) is a solution. Class 9 Ganita ...