Pair of Linear Equations in Two Variables

CBSE Class 10 · Mathematics · 33 past questions

These are the board's own papers. 179 more board questions reprinted in the books we use in class are for signed-in students: sign in.

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Q4 2026

The value of k for which the system of linear equations $\frac{x}{2}+\frac{y}{3}=5$ and $2x + ky = 7$ is…
Q5 2026

In a class test, Veer scored 6 more than twice as many marks as Kevin scored. If one of them had scored 4…
Q6 Sample paper 2026-27

Tarun correctly solved a pair of linear equations in two variables and found their only point of intersection…
Q7 Sample paper 2026-27

A student entrepreneur started a company that manufactures sanitizers in two sizes – small and large. The…
Q12 2025

Vijay invested certain amounts of money in two schemes A and B, which offer interest at the rate of 8% per…
Q13 2025 (Basic)

Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled…
Q21 2024

Solve the following system of linear equations 7x – 2y = 5 and 8x + 7y = 15 and verify your answer.
Q22 2024

Three years ago, Rashmi was thrice as old as Nazma. Ten years later, Rashmi will be twice as old as Nazma.…
Q29 2023

The value of k for which the pair of equations $kx = y + 2$ and $6x = 2y + 3$ has infinitely many solutions…
Q31 2023

Half of the difference between two numbers is 2. The sum of the greater number and twice the smaller number…