1. 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

2. 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 = 1 4. 2x + 3y = 6 5. 0 = 5y + 5x 13 –5 y = x + 1 y = x + 2 y = –x 6-1 Solving Systems by Graphing

3. Warm Up Solve each equation for x. 1. y = x + 32. 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 – 103. 2(x – 5)4. 12 – 3(x + 1)9 – 3x 12 9 2323 6-2 Solving Systems by Substitution

4. 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. 5. 7. 6. 8. 3 and 6 6 and 8 4 and 10 2 and 5 6 24 20 10 6-3 Solving Systems by Elimination

5. Warm Up Solve each equation. 1. 2x + 3 = 2x + 4 2. 2(x + 1) = 2x + 2 3. Solve 2y – 6x = 10 for y. no solution infinitely many solutions y = 3x + 5 4. 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

6. Warm Up Simplify each expression. 1. 3(10a + 4) – 2 2. 5(20 – t) + 8t 3. (8m + 2n) – (5m + 3n) 30a + 10 100 + 3t 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

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

8. Warm Up Solve each inequality for y. 1. 8x + y < 6 2. 3x – 2y > 10 3. Graph the solutions of 4x + 3y > 9. y < –8x + 6 6-7 Solving Systems of Linear Inequalities