Systems Warm-Up Solve each linear system. 1.x + 7 = y -4x + 2 = y 2.x + 2y = 10 3y = 30 – 2x.

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Presentation transcript:

Systems Warm-Up Solve each linear system. 1.x + 7 = y -4x + 2 = y 2.x + 2y = 10 3y = 30 – 2x

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

Solving Systems of Linear and Quadratic Equations

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

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

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

Visualize all of the possible solutions to a Line & a Parabola 1 solution as an Ordered pair 2 solutionsNo solution

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

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

Homework (BK) Pg 202, 8 – 16