Consider the pair of linear equations in two variables: Answer the following in the…
MATHEMATICS · Multi-part · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables
Problem
Consider the pair of linear equations in two variables:
3x+2y=76x+ky=10
Answer the following in the space provided.
(i) State the conditions on the coefficients of two linear equations in two variables for the system to have (a) a unique solution, (b) no solution, and (c) infinitely many solutions.
(ii) Using the conditions stated in part (i), determine the value of k for which the above pair of equations has no solution. Justify your answer algebraically.
(iii) For k=2, solve the pair of equations obtained in the stem. Show all necessary steps.