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3x = 2y + 2
x = 2/3 y + 2/3 sub ke x^2 - xy + 2y^2 = 8
(2/3y + 2/3)^2 - (2/3y + 2/3)y + 2y^2 = 8
4/9 y^2 + 8/9 y + 4/9 - 2/3y^2 - 2/3y + 2y^2 = 8
16/9 y^2 + 2/9 y - 68/9 = 0
16y^2 + 2y - 68 = 0
(16y + 34)(y - 2) = 0
y= - 34/16 = -17/8
y = 2
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3x = 2y + 2
3x = 6
x = 2
x+y = 4