1.5.35 Systems of Algebraic Equations

Condition: a system of linear equations is given \ (\ left \ {\ begin {array} {l} 2 x_ {1} +4 x_ {2}+x_} -x_ {4} = 6 \\ 2 x_ {1}+x_} -x_ {3} -x_ {4} = 3} = 3} = 3} = 3} = 3 \\ x_ {1} +4 x_ {2} +2 x_ {3} -x_ {4} = 6 \ End {Array} \ Right. b) show that the system is joint; c) solve the system: write out a general solution, find a private solution and make a check for it.