1) y^2 - 9 - (y^2 + 3y) + (6y + 2y^2) = 0y^2 - 9 - y^2 - 3y + 6y + 2y^2 = 02y^2 - y = 92y^2 - y - 9 = 0
2) x^2 - 9 - (9 - 6x + x^2) = 2x^2 + 6xx^2 - 9 - 9 + 6x - x^2 = 2x^2 + 6x6x - 18 = 2x^2 + 6x-18 = 2x^2x^2 = -9
Therefore, the solutions for the given equations are:1) y = (1 ± √37) / 42) x = ±3i
1) y^2 - 9 - (y^2 + 3y) + (6y + 2y^2) = 0
y^2 - 9 - y^2 - 3y + 6y + 2y^2 = 0
2y^2 - y = 9
2y^2 - y - 9 = 0
2) x^2 - 9 - (9 - 6x + x^2) = 2x^2 + 6x
x^2 - 9 - 9 + 6x - x^2 = 2x^2 + 6x
6x - 18 = 2x^2 + 6x
-18 = 2x^2
x^2 = -9
Therefore, the solutions for the given equations are:
1) y = (1 ± √37) / 4
2) x = ±3i