Question

find the value(s) of k for which the pair of linear equation kx+ y=k squa re and x+ky=1 have infinitely many solutions

Answer 1

Heya friend!!!

Here's ur ans with solution:)

✴ kx + y = k

✴ x + ky = 1

As it is given that the equation have infinity many solution

then we have a formula as ,

=>

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

Here ,

a1 = k b1 = 1 c1 = k

a2 = 1 b2 = k c2 = 1

✳following above rulz

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

now ,

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

k² = 1

k = √1

k = ± 1

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

k² = 1

k = √1

k = ±1

So, the value of k can be 1 Or -1

for both the value of k the equation has infinity value.

@Altaf