Solve using Gauss-Jordan elimination.
4x₁-5x₂-3x3=39
x₁-2x₂=12
Select the correct choice below and fill in the answer box(es) within your choice.
A. The unique solution is x₁=__,x₂=__, and x₃=__
B.The system has infinitely many solutions. The solution is x₁=__,x₂=__, andx₃=.(Simplify your answers. Type expressions using as the variable.)
C.The system has infinitely many solutions. The solution is x₁__x₂=, and x₃=.(Simplify your answer. Type an expression using and as the variables.)
D. There is no solution.