Nonlinear Systems of Equations in Two Variables

  1.  \rhd Nonlinear systems of equations I (5:44)Solve the system of equations by graphing.  Check your solution algebraically.
    y =  x^2  +  6
    y = -2x  –  2
    Solutions: (-2,2) and (4, -10)
  2.  \rhd Systems of nonlinear equations II (3:33)Find the solution(s) of
    y  =  \frac{1}{2}x
    2x^2  – y^2  =  7.  Solutions: x = 2 or x = -2 giving points (2,1) and (-2,-1), both of which satisfy both constraint equations.
  3. \rhd Systems of nonlinear equations III (4:13)
    Find the solution(s) of the system of equations
    y  =  x +1
    x^2 + y^2  =  25Solutions: (-4,-3) and (4,3)
  4.  There are also more videos under “Quadratics” — see Systems of Quadratic Equations