Question

Find the value(s) of k for which the pair of linear equations kx + y = k2 and x + ky = 1 have infinitely many solutions.

Answer 1

bro the answer is 1 try the steps a1/a2=b1/b2=c1/c2
substitute

Answer 2

Answer:

The value of k is 1.

Step-by-step explanation:

The given equation is

$kx+y=k^2$

$x+ky=1$

If two lines have infinitely many solutions, then

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

$\frac{k}{1}=\frac{1}{k}=\frac{k^2}{1}$

$\frac{1}{k}=\frac{k^2}{1}$

$1=k^3$

$k=1$

Therefore the value of k is 1.