Skip to content
Q) Use graphical method to solve the system of linear equations: y = – 3 and x + 2y = 4. (Q 28 – 30/5/2 – CBSE 2026 Question Paper) Ans: To solve the given linear equations, let’s first plot both lines and find point of intersection. (i) For y = – 3: Since at […]
pair of linear equations
Q) In a class test, Veer scored 6 more than twice as many marks as Kevin scored. If one of them had scored 4 more marks, their total score would have been 40. Find the marks obtained by Veer and Kevin. (Q 28 A – 30/4/2 – CBSE 2026 Question Paper) Ans: Let’s consider the
Q)Â Solve the linear equations 3 x + y = 14 and y = 2 graphically. (Q 28 B – 30/4/2 – CBSE 2026 Question Paper) Ans: Step 1: To solve the given linear equations, let’s first plot both lines and find point of intersection. (i) For 3 x + y = 14:at x =
28 b. Solve the linear equations 3 x + y = 14 and y = 2 graphically. Read More »
Q) Solve the following system of equations graphically: x – 2 y = 3, 3 x – 8 y = 7. (Q 32 B – 30/3/3 – CBSE 2026 Question Paper) Ans: Step 1: Let’s plot these lines on graph: First we calculate intersection points on both axes for 1st line: x – 2 y
32 a. Solve the following system of equations graphically: x – 2 y = 3, 3 x – 8 y = 7. Read More »
Q) Five years ago, Adil was thrice as old as Bharat. Ten years later Adil shall be twice as old as Bharat. To know the present ages of Adil and Bharat:(i) form the linear equations representing the above information.(ii) show that the system of equations is consistent with unique solution.(iii) find the present ages of
Q) Represent the following pair of linear equations graphically and hence comment on the condition of consistency of this pair: x – 5 y = 6; 2 x – 10 y = 12. (Q 33 – 30/2/2 – CBSE 2026 Question Paper) Ans: We are given following two equations:Â 1. x – 5 y = 62.
Q) Aarush bought 2 pencils and 3 chocolates for Rs. 11 and Tanish bought 1 pencil and 2 chocolates for Rs. 7 from the same shop. Represent this situation in the form of a pair of linear equations. Find the price of 1 pencil and 1 chocolate, graphically. (Q 33 – 30/2/2 – CBSE 2026
Q) A fraction becomes when 2 is subtracted from the numerator and it becomes when 1 is subtracted from the denominator- Find the fraction. Ans: Step 1: Let’s consider the fraction be Step 2: By 1st condition 1: “When 2 is subtracted from the numerator, the fraction becomes “ ∴ ∴ 3 (x – 2)
Q) Solve the following system of equations graphically: x – y + 2 = 0 and 4 x – y – 4 = 0. Calculate the area of the triangle formed by the lines so drawn and x – axis. (Q 34 – 30/1/3 – CBSE 2026 Question Paper) Ans: Part 1: Solving the linear equations:
Q) At present, Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10 times the present age of Nisha. Find the sum of their present ages. Ans: METHOD 1 (ONE VARIABLE) Let’s consider