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Solve the following… (Class 10 Maths Basic 2025, Q28a)

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MathsCBSE Class 10 · Basic · Board exam 2025, set 430/1/1 · 3 marks · Short answer

CBSE Class 10 Mathematics Basic 2025: question 28(a)

Set in the CBSE Class 10 board exam of 2025, paper 430/1/1, section C, question 28(a), for 3 marks. Try it first; the hints and our step-by-step solution are below.

Q28(a) · 3 marks · Short answerPair of Linear Equations in Two Variables

Solve the following system of equations graphically : ;

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 430/1/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Make a table of at least two or three points for each equation; putting or is easiest.

Hint 2

The solution is the point where the two lines meet. Check whether both lines cut the x-axis at the same point.

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 , i.e. : table : 0, 3, 6 and : 2, 1, 0. Plot (0, 2), (3, 1), (6, 0) and join them to get the first line.

    1 mark

  2. For , i.e. : table : 0, 3, 6 and : −4, −2, 0. Plot (0, −4), (3, −2), (6, 0) and join them to get the second line.

    1 mark

  3. The two lines intersect at (6, 0), which lies on the x-axis. Hence the solution is .

    1 mark

Answer: x = 6, y = 0, i.e. the point (6, 0)

Where the marks are

  • Correct table and graph of (1 mark)
  • Correct table and graph of (1 mark)
  • Reads the intersection point (6, 0) as the solution (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Pair of Linear Equations in Two Variables, one at a time, marked against the answer key and marking points.Back to the full paper2025 board paper, set 430/1/1 (Basic): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.