You can
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3x-9y=12
-4x+12y=-16
3x - 9y = 12 ------- eq (i)
- 4x + 12y = - 16 ----- eq (ii)
Divide eq (i) by 3, and eq (ii) by 4. You can then immediately ELIMINATE x
Solve to find the value of y.
Then find the value of x.