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Let's see. Looks like easy substitution here.
X - 2Y = 6
3X - 6Y = 18
express one variable in term of another with top equation
X - 2Y = 6
X = 2Y + 6
insert into bottom equation
3(2Y + 6) - 6Y = 18
6Y + 18 - 6Y = 18
---------------------------------admits of no solution here, try elimination
- 3(X - 2Y = 6)
3X - 6Y = 18
- 3X + 6Y = - 18
3X - 6Y = 18
This system either admits of no solution, or an infinite number of solutions, but my systems work is rusty, so I do not remember the terms
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