CBSE Class 10 Mathematics Basic 2025: question 32

Hints

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Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

1. For $2x+3y=12$, i.e. $y=\frac{12-2x}{3}$:

   $x$	0	3	6
   $y$	4	2	0

   Plot (0, 4), (3, 2), (6, 0) and join them to get the first line.

   2 marks

2. For $x-y=1$, i.e. $y=x-1$:

   $x$	0	1	3
   $y$	−1	0	2

   Plot (0, −1), (1, 0), (3, 2) on the same axes and join them to get the second line.

   2 marks

3. The two lines intersect at exactly one point (3, 2). Hence the pair of equations has a unique solution, $x=3$, $y=2$.

   1 mark

Answer: The lines intersect at (3, 2), so the pair has a unique solution ($x=3$, $y=2$).

Revise the chapter

• Chapter: Pair of Linear Equations in Two Variables (notes, formulas, where marks are lost and every past question)
• Topic: Graphical Method of Solving Linear Equations