6-1 Solving Systems by Graphing 6-2 Solving Systems by Substitution 6-3 Solving Systems by Elimination 6-4 Solving Special Systems 6-5 Applying Systems.

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6-1 Solving Systems by Graphing 6-2 Solving Systems by Substitution 6-3 Solving Systems by Elimination 6-4 Solving Special Systems 6-5 Applying Systems 6-6 Solving Linear Equalities 6-7 Solving Systems of Linear InequalitiesPreview Warm Ups

Warm Up Evaluate each expression for x = 1 and y = –3. 1. x – 4y 2. –2x + y Write each expression in slope- intercept form. 3. y – x = x + 3y = = 5y + 5x 13 –5 y = x + 1 y = x + 2 y = –x 6-1 Solving Systems by Graphing

Warm Up Solve each equation for x. 1. y = x y = 3x – 4 Simplify each expression. Evaluate each expression for the given value of x. 5. x + 8 for x = 66. 3(x – 7) for x = 10 x = y – 3 2x – (x – 5)4. 12 – 3(x + 1)9 – 3x Solving Systems by Substitution

Warm Up Simplify each expression. 1. 3x + 2y – 5x – 2y 2. 5(x – y) + 2x + 5y 3. 4y + 6x – 3(y + 2x) 4. 2y – 4x – 2(4y – 2x) –2x 7x7x y –6y–6y Write the least common multiple and 6 6 and 8 4 and 10 2 and Solving Systems by Elimination

Warm Up Solve each equation. 1. 2x + 3 = 2x (x + 1) = 2x Solve 2y – 6x = 10 for y. no solution infinitely many solutions y = 3x y = 3x + 2 2x + y = 7 Solve by using any method. (1, 5) 5. x – y = 8 x + y = 4 (6, –2) 6-4 Solving Special Systems

Warm Up Simplify each expression. 1. 3(10a + 4) – (20 – t) + 8t 3. (8m + 2n) – (5m + 3n) 30a t 3m – n 4. y – 2x = 4 x + y = 7 Solve by using any method. (1, 6) 5. 2x – y = –1 y = x + 5 (4, 9) 6-5 Applying Systems

Warm Up Graph each inequality. 1. x > –5 2. y ≤ 0 3. Write –6x + 2y = –4 in slope-intercept form, and graph. y = 3x – Solving Linear Equalities

Warm Up Solve each inequality for y. 1. 8x + y < x – 2y > Graph the solutions of 4x + 3y > 9. y < –8x Solving Systems of Linear Inequalities