Question: x_1 + x_2 + 2(x_3) + 2(x_4)=24 x_1 + x_2 - x_3 + 4(x_4)=18 a) How many solutions are there that satisfy the above system

x_1 + x_2 + 2(x_3) + 2(x_4)=24 x_1 + x_2 - x_3 + 4(x_4)=18 a) How many solutions are there that satisfy the above system of linear equalities? Explain how you come to that conclusion. b)Find all basic solutions to the above system for each basic solution, state the value of each variable as a vector.(x_1,x_2,x_3,x_4) c) Find one solution not basic.

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