Chhattisgarh Board Solutions for Exercise 9: Exercise – 3

Find the value of $k$ for which the given system of equations has a unique solution.

$kx+2y=5; 3x+y=1$

Find the value of $k$ for which the given system of equations has a unique solution.

$x-2y=3; 3x+ky=1$

Find the value of $k$ for which the given system of equations has a unique solution.

$kx+3y=k-3; 12x+ky=k$

Find the value of $k$ for which the given system of equations has a unique solution.

$4x-5y=k; 2x-3y=12$

Find the value of $k$ for which the given system of equations has infinite solutions.

$kx+2y-4=0; 5x-3y+6=0$

Find the value of $k$ for which the given system of equations have infinite solutions.

$3x+ky=7; 2x-5y=1$

Find the value of $k$ for which the given system of equations has infinite solutions.

$kx-5y=2; 2x-3y=12$

Test whether the following system of equations has a unique solution, infinite solution, or no solutions. If it has a unique solution then find the values of $x$ and $y$.

$4x+7y=18$

$2x+y=4$