No Solution
1) Let's solve that system below:
x-3y=17 x(-1) Multiplying it by -1 to eliminate one variable
x-3y=14
-x+3y=-17
x-3y=14
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0x +0y = -3
0 ≠ -3
2) Since we ended up canceling out both variables, this is a No solution Linear System. There's no number that satisfies both x, and y.