Solving Systems Graphically Section 7-7-A Solving Systems Graphically

Def: The “solution” will be all points that satisfy (are on the graph of) both equations. Ellipse and Line Points of intersection are the solution

Possible types of solutions: No solutions a.) 2 solutions b.) 4 solutions c.) d.) 4 solutions e.) 2 solutions

Yes, systems of equations are collections of equations 3 solutions No solutions g.) Other possibilities? Yes, systems of equations are collections of equations and the possibilities are endless

1) Solve: x2 + 4y2 = 25 2y + x = 1

1) (find solutions using your calculator) Remember the ellipse is entered as 2 curves Use the “trace” feature or 2nd Function Calculate- “Intersect”

2.) Find a system of 2nd degree equations with exactly 3 solutions? Ellipse and Hyperbola Circle and Hyperbola Ellipse and

Use graphing calculator 3.) Solve: y2 + (x - 5)2 = 9 4x2 - y2 = 36 Use graphing calculator

3.) Circle and Hyperbola 2 Solutions (3.225, 2.419) (3.225, -2.419)

Homework Page 459 # 1-8 and page 464 # 5