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