The system of $$equations2x+6y+11=0$$, $$6y$$−$$18z+1=0$$, $$6x+20y$$−$$6z+3=0is$$

Question

The system of $$equations2x+6y+11=0$$,   $$6y$$−$$18z+1=0$$, $$6x+20y$$−$$6z+3=0is$$

Infinity Learn · Accepted Answer

We have, augmented matrix $$AD=260-1106-18-1620-6-3$$                                                                  $$R3$$→$$R3-3R1$$                                                              ~$$260-1106-18-102-630$$                                                                   $$R3$$→$$3R3-R1$$                                                               ~$$260-1106-18-100091$$ Here rank $$A=2$$ and rank $$AD=3$$ ⇒ rank A≠rank AD ⇒The given system of equations is inconsistent.

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

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The system of equations2x+6y+11=0, 6y−18z+1=0, 6x+20y−6z+3=0is

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