Entry Task Solve the System x + 7 = y -4x + 2 = y.

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Presentation transcript:

Entry Task Solve the System x + 7 = y -4x + 2 = y

Visualize all of the possible solutions to 2 lines 1 solution as an Ordered pair Infinitely man solutions—same line No solution– Parallel Lines

Chapter 4-9 Solving Systems of Linear and Quadratic Equations Learning Target: I can solve systems of linear and quadratic equations using substitution

Remember these? Systems of Linear Equations We had 3 methods to solve them. Method 1 - Graphing Solve for y. (6, – 4)

Remember these? (6, – 4) Systems of Linear Equations Method 2 - Substitution (6, – 4)

Remember these? (6, – 4) Systems of Linear Equations Method 3 - Elimination All 3 methods giving us the same answer (6,–4). (6, – 4)

Now let’s look at Systems of Linear and Quadratic Equations!

Visualize all of the possible solutions to a Line & a Parabola 1 solution as an Ordered pair 2 solutions No solution

Solve the System Algebraically Use Substitution (0, 1) (1, 2) Answer: (0,1) (1,2)

Solve the System Algebraically Use Substitution (2, 2) Answer: (2,2)

Homework Pg 262, 14 – 19