1.5.37 Systems of Algebraic Equations

Condition: given a system of linear equations \ (\ left \ {\ begin {array} {c} x_ {1} +2 x_ {2}+x_ {3}+x_ {4} = 1 \ x_ {1} +3 x_ {2}+x_ {3} = 3 \ 2 x_ {1} +5 x_ {2} +5 x_ {3}+x_ {4} = 4 \ end {Array} \ Right. b) solve the system: write out a general solution; c) Find two private solutions of the system, for one of them to make a check.