For each real value of the parameter

MATHEMATICS · Multi-part · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables

Problem

k

, consider the system of equations

(k-1)x + 2y = 3

(2k+1)x + (k+4)y = 5

. (i) Determine the values of

k

for which the system has (a) a unique solution, and (b) no solution. (ii) For every value of

k

that gives a unique solution, find the corresponding solution

(x, y)