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Solve for x and… (Class 10 Maths Basic SQP 2025-26, Q29B)

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MathsCBSE Class 10 · Basic · Sample paper, session 2025-26 · 3 marks · Short answer

CBSE Class 10 Mathematics Basic sample paper 2025-26: question 29(B)

From the official CBSE sample question paper for 2025-26, section C, question 29(B), for 3 marks. Try it first; the hints and our step-by-step solution are below.

Q29(B) · 3 marks · Short answerPair of Linear Equations in Two Variables

Solve for and , graphically: ;

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2025-26.

Hints

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

Hint 1

Make a table of at least three points for each line by choosing values of .

Hint 2

The solution is the point where the two lines cross.

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. : points (0, 6), (2, 2), (3, 0). For , i.e. : points (0, 5), (2, 3), (5, 0).

    1 mark

  2. Plot these points on a graph paper and draw the two lines through them; the lines intersect at the point (1, 4).

    1 mark

  3. Hence the solution is . (Check: , .)

    1 mark

Answer:

Where the marks are

  • Correct tables of values for both equations (1 mark)
  • Correct graph of both lines (1 mark)
  • Reads intersection point (1, 4) 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 paperSample paper 2025-26 (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.