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Finding system of equations with unique solution

Questions:

Linear equations

1. Find k if the following system of equations has a unique solution
2x + (k - 1)y = 6
3x + (2k + 1)y = 9

2. Find k if the following system of equations has infinite solutions
kx + 3y = k - 3
12x + ky = k

3. Find k if the following system of equations has no solution
3x + 2y = 6
kx + (k - 1)y = 9

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Algebra: Finding system of equations with unique solution

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