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Vocabulary • System – 2 equations • Solution – tells you when 2 equations are EQUAL to each other, where they intersect on a graph Forms of Equations • Slope Intercept form – Y = mx + b – Starts with y = • Standard Form – ax + by = c – x and y are on the same side of the equal Objective: To combine equations by adding or subtracting Equal Values Method/ Graphing Y = 2x + 4 Y = 3x – 3 Both slope-intercept (y=) Substitution Elimination 6x + 2y = 18 3x + 2y = 18 Y = 1x + 1 1x + 2y = 6 One equation in standard form (with x and y on same side) Both equations in standard form (with x and y on same side) Objective: To solve systems using elimination Objective: To combine equations by adding or subtracting a) 2 -2 b) 3x + 3x c) 7x - 7x d) 2x + -2x Steps: 1. 2. 3. 4. Identify the variable that matches Eliminate the matching variable by + or – Solve Go back and find the other variable I Model 3x + 2y = 18 1x + 2y = 6 1x + 2y = 24 1x + 1y = 18 3x – 2y = 18 1x + 2y = 6 Guided Practice 2x + 1y = 12 1x + 1y = 6 5x + 1y = 10 2x – 1y = 4 5x + 7y = 19 5x + 3y = 11