The system of equations $$2x+6y+11=0$$, $$6y$$−$$18z+1=0$$, $$6x+20y$$−$$6z+3=0$$,

Question

The system of equations $$2x+6y+11=0$$, $$6y$$−$$18z+1=0$$, $$6x+20y$$−$$6z+3=0$$,

Infinity Learn · Accepted Answer

Augmented matrix $$AD=260-11$$ $$06-18-1620-6-3$$                                                 $$R3$$→ $$R3-3$$ $$R1$$                                            ~$$16011$$ $$06-18-102-630$$                                                $$R3$$→ $$3R3-R2$$                                             ~$$16011$$ $$06-18-100091$$ Here $$rankA=2$$ and $$rankAD=3$$ ⇒rankA≠rankAD ⇒The given system has no solution

The system of equations $2 x + 6 y + 11 = 0$ , $6 y - 18 z + 1 = 0, 6 x + 20 y - 6 z + 3 = 0$ ,

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The system of equations 2x+6y+11=0, 6y−18z+1=0, 6x+20y−6z+3=0,

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The system of equations $2 x + 6 y + 11 = 0$ , $6 y - 18 z + 1 = 0, 6 x + 20 y - 6 z + 3 = 0$ ,