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3 (4-3y)^2 - 4y(4-3y) + 5y^2 = 4
3(16 - 24y + 9y^2) - 16y +12y^2 + 5y^2 = 4
48 - 72 y + 27 y^2 - 16y+ 17y^2 = 4
44 y^2 - 88 y - 44 = 0
y^2 - 2y - 1 = 0
(y-1)^2 = 0 ---> y = 1 --> x = 4 - 3y --> x= 1
(x,y)= (1,1)