Pair of Linear Equations in Two Variables Examples and Solutions
- null - Pair of Linear Equations in Two Variables
Find the value of k for which the system of linear equations has an infinite number of solutions:
5x + 2y = 2k,
2(k + 1)x + ky = (3k + 4).
In the following systems of equations determine whether the system has a unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it:
kx + 2y - 5 = 0
3x + y - 1 = 0
Find the values of a and b for which the system of linear equations has an infinite number of solutions:
(2a – 1) x + 3y = 5, 3x + (b – 1)y = 2.
23 spoons and 17 forks cost Rs.1770, while 17 spoons and 23 forks cost Rs.1830. Find the cost of each spoon and that of a fork.
Find the value of k for which each of the following system of equations has infinitely many solutions :
2x + 3y = 2
(k + 2)x + (2k + 1)y - 2(k - 1)
For what value of , the following system of equations will be inconsistent?
4x + 6y - 11 = 0
2x + ky - 7 = 0