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Pair of Linear Equations in Two Variables
NCERT Exemplar Ch 03
CBSE_NCERT_EXEMPLAR_CH03
Grade 10

Question:

The pair of equations $y = 0$ and $y = -7$ has:

One solution
Two solutions
Infinitely many solutions
No solution

Step-by-Step Solution

Key Concept: The lines $y=0$ (the x-axis) and $y=-7$ are horizontal lines parallel to each other.
Stepwise Solution:

$y = 0$ represents the $x$-axis; $y = -7$ is a horizontal line $7$ units below the $x$-axis. [0.5 Mark]

Since both lines are parallel to each other and never intersect, there is no solution. [0.5 Mark]

Marking Scheme:

• Identifying lines as parallel: 0.5 Mark
• Concluding no solution: 0.5 Mark

Correct Answer: No solution
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