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Linear - Quadratic Systems

  1. 1
    Solve: $$y-x=1$$ $$y=x^2-2x-3$$
  2. 2
    Solve: $$y=4x-4$$ $$y=x^2+3x-4$$
  3. 3
    Solve: $$x-y=3$$ $$y=x^2-x-11$$
  4. 4
    Solve: $$3x-y=-9$$ $$y=2x^2+3x+1$$
  5. 5
    Solve: $$2x+y-8=0$$ $$y=3x^2+x-10$$
  6. 6
    Solve: $$x+y-5=0$$ $$x^2+y^2=25$$

    This is not a linear-quadratic system, but the same concept applies to solving this. (the second equation is a circle)
  7. 7
    Solve: $$x-y-1=0$$ $$x^2+y^2=25$$
  8. 8
    Solve: $$x-y+3=0$$ $$x^2+y^2=29$$
  9. 9
    Solve: $$3x-y=0$$ $$x^2+y^2=10$$