find K if 7 - 3 solution of 7 x minus k y = 6

Let's solve for \( K \) given that \( (7, -3) \) is a solution of the equation:

\[
7x - ky = 6
\]

To find \( K \), substitute \( x = 7 \) and \( y = -3 \) into the equation:

\[
7(7) - k(-3) = 6
\]

Simplify this equation:

\[
49 + 3k = 6
\]

Now, solve for \( k \):

\[
3k = 6 - 49 \implies 3k = -43
\]

\[
k = \frac{-43}{3}
\]

Thus, the value of \( K \) is:

\[
\boxed{-\frac{43}{3}}
\]

Would you like further details or have any questions?  

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**Tip:** When given a solution to an equation, always substitute the values carefully to check consistency.

Learn how to find the value of K in the linear equation 7x - ky = 6 using the substitution method. This problem involves substituting given values into the equation to solve for the unknown variable K. Suitable for students in Grades 7-9.

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