To find the value of \( k \) when \( (1, 2) \) is a solution of the equation \( 3x - ky = 5 \), we'll substitute \( x = 1 \) and \( y = 2 \) into the equation and solve for \( k \):
\[ 3(1) - k(2) = 5 \]
Now, let's solve for \( k \):
\[ 3 - 2k = 5 \]
Isolate \( k \) by subtracting 3 from both sides:
\[ -2k = 2 \]
Now, divide both sides by -2 to solve for \( k \):
\[ k = -1 \]
So, when \( (1, 2) \) is a solution of \( 3x - ky = 5 \), the value of \( k \) is \( -1 \).
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Answer:
To find the value of \( k \) when \( (1, 2) \) is a solution of the equation \( 3x - ky = 5 \), we'll substitute \( x = 1 \) and \( y = 2 \) into the equation and solve for \( k \):
\[ 3(1) - k(2) = 5 \]
Now, let's solve for \( k \):
\[ 3 - 2k = 5 \]
Isolate \( k \) by subtracting 3 from both sides:
\[ -2k = 2 \]
Now, divide both sides by -2 to solve for \( k \):
\[ k = -1 \]
So, when \( (1, 2) \) is a solution of \( 3x - ky = 5 \), the value of \( k \) is \( -1 \).