Question

for what valueof k the following pair of equation have infinite solutions kx+y=k x+ky=1​

Answer 1

infinite solution all the values of the polynomial are equal so the answer is

Step-by-step explanation:

value of the k is 1

I hope it will help you this is your answer

Answer 2

Answer:-

value of k = 1

Step-by-step explanation:

kx + y = k x+ ky = 1

Having infinite solution,

$\frac{a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2}$

a1 = k , a2 = 1

b1 = 1 , b2 = k

c1= k , c2 = 1

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

a1 /a2 = b1/ b2

k/1 = 1/k

k² = 1

k= 1

b1/b2 = c1/ c2

1/k = k/1

k² = 1

k = 1

Therefore,

value of k = 1

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