MathsCBSE Class 10 · Basic · Board exam 2023, set 430/1/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Basic 2023: question 24(a)

Set in the CBSE Class 10 board exam of 2023, paper 430/1/1, section B, question 24(a), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q24(a) · 2 marks · Very short answerPair of Linear Equations in Two Variables

Solve for $x$ and $y$ : $x + y = 6$ , $2 x - 3 y = 4$ .

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 430/1/1.

Hints

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

Hint 1

Express one variable from the first equation in terms of the other.

Hint 2

Substitute $x = 6 - y$ into the second equation and solve for $y$ .

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.

From $x + y = 6$ , $x = 6 - y$ . Substituting in $2 x - 3 y = 4$ : $2 (6 - y) - 3 y = 4 \Rightarrow 12 - 5 y = 4 \Rightarrow y = \frac{8}{5}$ .
1 mark
$x = 6 - \frac{8}{5} = \frac{22}{5}$ .
1 mark

Answer: $x = \frac{22}{5}$ , $y = \frac{8}{5}$

Where the marks are

Finds $y = \frac{8}{5}$ (1 mark)
Finds $x = \frac{22}{5}$ (1 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 paper2023 board paper, set 430/1/1 (Basic): every question, by section.

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CBSE Class 10 Mathematics Basic 2023: question 24(a)

Hints

Step-by-step solution

Revise the chapter

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