# Given the linear system 2x 1 6x 2 = 3, 3x 1 x 2 = 3/2 a. Find value(s) of for which the system has no solutions. b. Find value(s) of for which the system has an infinite number of solutions. c. Assuming a unique solution exists for a given , find the solution.

Given the linear system

2x_{1} − 6αx_{2} = 3,

3αx_{1} − x_{2} = 3/2

a. Find value(s) of α for which the system has no solutions.

b. Find value(s) of α for which the system has an infinite number of solutions.

c. Assuming a unique solution exists for a given α, find the solution.

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