Skip to content

Solve graphically the… (Class 10 Maths Basic 2026, Q28a)

questionbuddy.in/q/cbse-10-maths-2026-430-2-1-q28a-solve-graphically-pair-linear-equations

MathsCBSE Class 10 · Basic · Board exam 2026, set 430/2/1 · 3 marks · Short answer

CBSE Class 10 Mathematics Basic 2026: question 28(a)

Set in the CBSE Class 10 board exam of 2026, paper 430/2/1, section C, question 28(a), for 3 marks. Try it first; the hints and our step-by-step solution are below.

Q28(a) · 3 marks · Short answerPair of Linear Equations in Two Variables

Solve graphically the following pair of linear equations : and . Also, write the coordinates of the points where the lines represented by these equations cut the y-axis.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/2/1.

Hints

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

Hint 1

Make a table of at least two or three points for each line by choosing x values.

Hint 2

Put x = 0 in each equation to find where it meets the y-axis.

Hint 3

The common point of the two lines is the solution.

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. For , i.e. : points . Plot and join them to draw the line.

    1 mark

  2. For , i.e. : points . Plot and join them to draw the second line.

    1 mark

  3. The two lines intersect at , so the solution is .

    ½ mark

  4. The lines cut the y-axis at and respectively.

    ½ mark

Answer: x = 1, y = 0; lines cut y-axis at (0, −2) and (0, −4)

Where the marks are

  • Correct graph of (1 mark)
  • Correct graph of (1 mark)
  • Solution (½ mark)
  • y-intercept points and (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 paper2026 board paper, set 430/2/1 (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.