If (3, 2) is a solution of the linear equation 3x - ky = 5, then the value of k is
Question
If (3, 2) is a solution of the linear equation 3x - ky = 5, then the value of k is
Solution
To find the value of k, we can substitute the given solution (3, 2) into the equation.
The given solution is (3, 2), which means x = 3 and y = 2.
Substitute x = 3 and y = 2 into the equation 3x - ky = 5.
This gives us 33 - k2 = 5.
Simplify the left side of the equation to get 9 - 2k = 5.
Next, subtract 9 from both sides of the equation to isolate -2k on the left side. This gives us -2k = 5 - 9.
Simplify the right side to get -2k = -4.
Finally, divide both sides of the equation by -2 to solve for k. This gives us k = -4 / -2 = 2.
So, the value of k is 2.
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