For what values of and

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

Problem

For what values of

p

and

q

, the system of equations

x + y + z = 6

x + 2y + 3z = 10

x + 2y + pz = q

has (i) unique solution? (ii) an infinitely many solutions? (iii) no solution?