Question

Find the value of K for which the given system of equations has infinitely many solutions:


Kx+3y=k-3 , 12x+ky=k .​

Answer 1

Answer:

2 equation 2 variable

put any valu of k by assuming

Answer 2

Answer:

System of linear equation $a_1x+b_1y+c_1=0$ and $a_2x+b_2y+c_2=0$ has infinite many solution if

$\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$

Now

$\frac{k}{12} = \frac{3}{k} = \frac{k-3}{k}$

By solving above

k = 6