Question

Find the value of k for which the system of equations have infinitely many solutions

x – ky = 2 , 3x + 6y = 6​

Answer 1

Step-by-step explanation:

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Answer 2

$\huge\bold\blue{Question}$

Find the value of k for which the system of equations have infinitely many solutions

Find the value of k for which the system of equations have infinitely many solutions x – ky = 2 , 3x + 6y = 6

$\bold\red{\underline{\underline{Answer:}}}$

Value of k is -2

$\bold\purple{Explanation}$

The equation have infinity of solutions if lines are connected.

Therefore this equations will form common line.

$\bold\pink{To \ find:}$

Value of k

$\bold\green{\underline{\underline{Solution}}}$

For this type of equations

$\bold{\frac{1}{3}=\frac{-k}{6}=\frac{2}{3}}$

$\bold{\frac{-k}{6}=\frac{1}{3}}$

$\bold{-k=\frac{6}{3}}$

$\bold{-k=2}$

$\bold{k=-2}$

$\bold\purple{Value \ of \ k \ is \ -2}$