Find the value of k,if x=-1 & y=1 is a solution of equation kx -2y =0

Answer

To find the value of \( k \) given that \( x = -1 \) and \( y = 1 \) is a solution of the equation \( kx - 2y = 0 \), we can follow these steps:

**Step 1: Substitute the values of \( x \) and \( y \) into the equation.**

The original equation is:
\[ kx - 2y = 0 \]

Substituting \( x = -1 \) and \( y = 1 \):
\[ k(-1) - 2(1) = 0 \]

**Step 2: Simplify the equation.**

This simplifies to:
\[ -k - 2 = 0 \]

**Step 3: Solve for \( k \).**

To isolate \( k \), we can add \( 2 \) to both sides:
\[ -k = 2 \]

Now, multiply both sides by \(-1\):
\[ k = -2 \]

Thus, the value of \( k \) is:
\[ \boxed{-2} \]

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