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Solve the following pair of… (Class 10 Maths 2025, Q21a)

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MathsCBSE Class 10 · Standard · Board exam 2025, set 30/6/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2025: question 21(a)

Set in the CBSE Class 10 board exam of 2025, paper 30/6/1, section B, question 21(a), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q21(a) · 2 marks · Very short answerPair of Linear Equations in Two Variables

Solve the following pair of equations algebraically:

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/6/1.

Hints

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

Hint 1

Look at the coefficients: they are swapped between the two equations.

Hint 2

Add the equations and divide by 203; then subtract them. You get two very simple equations.

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. Adding the two equations: ...(1)

    ½ mark

  2. Subtracting the first equation from the second: ...(2)

    ½ mark

  3. Adding (1) and (2):

    ½ mark

  4. Substituting in (1):

    ½ mark

Answer:

Where the marks are

  • Adds the equations to get (½ mark)
  • Subtracts the equations to get (or ) (½ mark)
  • Finds (½ mark)
  • Finds (½ 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 30/6/1 (Standard): 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.