Solve Quadratic Systems

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Presentation transcript:

Solve Quadratic Systems Notes 9.7 Solve Quadratic Systems

Solving Systems of Equations These are the types of things that may happen in today’s systems. Up to 4 solutions.

Substitution Method: Step 1: Find a variable with an exponent of 1 Step 2: Solve that equation for that variable Step 3: Plug this solution into the other equation Step 4: Solve (you may have to factor) Step 5: Plug in your solutions Step 6: Write the solution as ordered pairs

Solve using the substitution method.

Solve using the substitution method.

Using the elimination method: Step 1: Choose a variable with an exponent of 2 to eliminate. Step 2: Multiply the equations by the appropriate numbers to make that term cancel. Step 3: Add the equations vertically. Step 4: Set the new equation equal to 0. Step 5: Factor and solve for the variable. Step 6: IMPORTANT: Plug the variable into an equation and solve. If getting two solutions you must check to see if both work for the remaining equation. Many times only one solution will work for the system. Step 7: Write your answer as a coordinate. (After all, that is the Point that the two equations would cross on the graph.)

Solve by using the elimination method.

Solve by using the elimination method.

Homework: Page 661 9-20, 22-33