EASY
10th CBSE
IMPORTANT
Earn 100

In Prime Minister's cabinet, a total of 56 Ministers include Cabinet Rank Ministers and Ministers of State. Number of Ministers of State is 5 more than twice the Cabinet Rank Ministers. Represent this situation algebraically and graphically.

Important Questions on Pair of Linear Equations in Two Variables

EASY
10th CBSE
IMPORTANT

In the given pair of linear equations, identify whether the solution is a unique solution, no solution, or infinitely many solutions.

2x+5y=17

5x+3y=14 

EASY
10th CBSE
IMPORTANT

In the given pair of linear equations, identify whether the solution is a unique solution, no solution, or infinitely many solutions.

 3x-5y=7

6x-10y=3

EASY
10th CBSE
IMPORTANT

In the given pair of linear equations, identify whether the solution has: Unique Solution / No Solution / Infinite Solutions.

4x+6y=7

12x+18y=21

EASY
10th CBSE
IMPORTANT

Find the value of 'k' for which the following system of linear equations has no solution:

kx + 2y = 5

3x - 4y =10

EASY
10th CBSE
IMPORTANT

Find the value of k for which the following system of linear equations has no solution:

3x+2y=1

(2k+1)x+(k+2)y=k+1

EASY
10th CBSE
IMPORTANT

Find the value of 'k' (Positive values only) for which the following system of linear equations has no solution :

kx+3y=k-3

12x+ky=k

EASY
10th CBSE
IMPORTANT

Find the value of k for which the following system of linear equations has an infinite number of solutions.

2x+3y=7

k-1x+k+2y=3k

HARD
10th CBSE
IMPORTANT

Find the value of k for which the following systems of linear equations have an infinite number of solutions.

2x+ky=3

k+5x+25y=2k+5