If x = 3k + 2 and y = 2k - 1 is a solution of the equation 4x - 3y + 1 = 0, find the value of k.

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Solution

x=3k+2, y=2k-1
4x-3y+1=0
Putting the value of x and y
4(3k+2)-3(2k-1)+1=0
12k+8-6k+3+1=0
6k+12=0
6k=-12
k= -12/6
k= -2

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