MathsCBSE Class 10 · Basic · Board exam 2024, set 430/1/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Basic 2024: question 22(A)

Set in the CBSE Class 10 board exam of 2024, paper 430/1/1, 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

Solve the following pair of linear equations for $x$ and $y$ algebraically : $x + 2 y = 9$ and $y - 2 x = 2$

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 430/1/1.

Hints

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

Hint 1

Equation (ii) can easily be rewritten to give y in terms of x.

Hint 2

Substitute $y = 2 x + 2$ into the first equation and solve for x.

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.

$x + 2 y = 9$ ...(i), $y - 2 x = 2$ ...(ii). From (ii), $y = 2 x + 2$ . Substituting in (i): $x + 2 (2 x + 2) = 9 \Rightarrow 5 x + 4 = 9 \Rightarrow x = 1$
1 mark
Then $y = 2 (1) + 2 = 4$ . Check in (i): $1 + 8 = 9$ ✓. So $x = 1, y = 4$ .
1 mark

Answer: $x = 1, y = 4$

Where the marks are

Correct elimination/substitution leading to $x = 1$ (1 mark)
Finds $y = 4$ (1 mark)

Revise the chapter

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

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 430/1/1 (Basic): every question, by section.

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CBSE Class 10 Mathematics Basic 2024: question 22(A)

Hints

Step-by-step solution

Revise the chapter

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