Question 1093133
1. 3x -2y =0
   x^2+(y-1)^2=11
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3x -2y =0
3x = 2y
9x^2 = 4y^2
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x^2+(y-1)^2=11
9x^2 + 9(y-1)^2 = 99
Sub for 9x^2
4y^2 + 9y^2 - 18y + 9 = 99
13y^2 - 18y - 90 = 0
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*[invoke solve_quadratic_equation 13,-18,-90]
y = the unfortunate answers shown.
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x = 2y/3
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2. 6x +12y^2-18=0 --> 3x + 6y^2 - 9 = 0
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   y+3x-9=0
3x = -y+9
Sub for 3x in the 1st eqn.
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3.12x^2-y^2-12=0
  y-2 =0
y = 2
Sub for y
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4. 8x^2-y^2+16y-18=0
   2y^2-48x -16y - 3 = 0
Solve eqn 2 for x, then sub for x in eqn 1.
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Check for extraneous solutions.