Question 263429
Lets take these one at a time:
Determine whether the system is consistent, inconsistent, or dependent.
(i) {{{3x - 3y = -9}}}
(ii) {{{9x - 9y = -27}}}
step 1 - multiply (i) by -3 to get
(iii) {{{-9x + 9y = 27}}}
step 2 - add (ii) and (iii) to get
(iv) {{{0 + 0 + 0}}}
Here we have dependent , consistent

Determine whether the system is consistent, inconsistent, or dependent.
(i) {{{2x + 2y = 2}}}
(ii) {{{6x + 6y = 6}}}
step 1 - multiply (i) by -3 to get
(iii) {{{-6x -6y = -6}}}
step 2 - add (ii) and (iii) to get
(iv) {{{0 + 0 + 0}}}
Here we have dependent , consistent