MathsCBSE Class 10 · Standard · Board exam 2024, set 30/3/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2024: question 22(a)

Set in the CBSE Class 10 board exam of 2024, paper 30/3/1, section B, question 22(a), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q22(a) · 2 marks · Very short answerPair of Linear Equations in Two Variables

If $2 x + y = 13$ and $4 x - y = 17$ , find the value of $(x - y)$ .

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 30/3/1.

Hints

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

Hint 1

Look at the $y$ terms in the two equations.

Hint 2

Adding the equations removes $y$ .

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.

Let $2 x + y = 13$ be (i) and $4 x - y = 17$ be (ii).
Adding (i) and (ii): $6 x = 30$ , so $x = 5$ .
1 mark
Substituting in (i): $10 + y = 13$ , so $y = 3$ .
½ mark
$x - y = 5 - 3 = 2$ .
½ mark

Answer: $x - y = 2$

Where the marks are

Solves the equations to get $x = 5$ , $y = 3$ (1½ marks)
States $x - y = 2$ (½ mark)

Revise the chapter

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

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 paper2024 board paper, set 30/3/1 (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.

CBSE Class 10 Mathematics Standard 2024: question 22(a)

Hints

Step-by-step solution

Revise the chapter

More questions from Pair of Linear Equations in Two Variables