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Solve the following system… (Maths Basic 2025 430/1/1 Q21)

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MathsCBSE Class 10 · Basic · Board exam 2025, set 430/1/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Basic 2025: question 21

Set in the CBSE Class 10 board exam of 2025, paper 430/1/1, section B, question 21, for 2 marks. Try it first; the hints and our step-by-step solution are below.

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

Solve the following system of equations for x and y :
and

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

Multiply each equation by the LCM of its denominators to remove the fractions.

Hint 2

Both cleared equations begin with , so subtracting one from the other eliminates .

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. Clear the fractions. Multiply the first equation by 6: ...(1). Multiply the second equation by 3: ...(2).

  2. Subtract (2) from (1): .

    1 mark

  3. Substitute in (2): . Hence .

    1 mark

Answer: x = 2, y = −3

Where the marks are

  • Obtains one correct value, e.g. (1 mark)
  • Obtains the other value, (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.