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4x + 6y = 8
7x + 8y = 9
3x + 2y = 1
has
no solutions
only one solution
two solutions
infinite number of solutions
= 4 (8 - 18) - 6 (7 - 27) + 8 (14 - 24)
= -40 + 120 - 80 = 0
Since
= 0, hence given system of equations has unique solution, i.e. only one solution.
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