Question 29 (B) - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards

Last updated at Sept. 10, 2025 by Teachoo

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Question 29 (B) Solve for x and y, graphically: 2𝒙 + 𝒚 = 6; 𝒙 + 𝒚 = 5Our equations are 2x + y = 6 …(1) x + y = 5 …(2) Let’s find points on the graph For Equation (1) 2x + y = 6 Putting x = 0 2(0) + y = 6 0 + y = 6 y = 6 So, x = 0, y = 6 is a solution i.e. (0, 6) is a solution Putting y = 0 2x + 0 = 6 2x = 6 x = 6/2 x = 3 So, x = 3, y = 0 is a solution i.e. (3, 0) is a solution For Equation (2) x + y = 5 Putting y = 0 x + 0 = 5 x = 5 So, x = 5, y = 0 is a solution i.e. (5, 0) is a solution 2x + y = 6 Putting x = 0 0 + y = 5 y = 5 So, x = 0, y = 5 is a solution i.e. (0, 5) is a solution We will plot both equations on the graph Therefore, Solution of the equations is (1, 4)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo

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