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Simple system.
X + 3Y = 2
2X - 3Y = 22
------------------------add
3X = 24
X = 8
--------------------now, insert back into one of the equations to find Y
8 + 3Y = 2
3Y = - 6
Y = - 2
----------------check both equations
8 + 3(- 2) = 2
2 = 2
---------------top checks
2(8) - 3(- 2) = 22
16 + 6 = 22
22 = 22
----------------both are consistent, so
X = 8
Y = - 2
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