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Comprehensive Guide to Solving Systems of Equations - Practice Problems Included!

Explore various methods like graphing, substitution, and elimination with practice problems on solving systems of equations effectively. Get ready for in-depth understanding with this comprehensive guide.

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Comprehensive Guide to Solving Systems of Equations - Practice Problems Included!

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  1. Chapter 7 Test Review Board Slide!

  2. Test Topics • Solving Systems of Equations • Graphing • Substitution (Partial & Complete) • Elimination • Two Strange Puppies • 0 = # (parallel lines, no solutions) • 0 = 0 (same line, infinite solutions) • Systems of Inequalities

  3. Problem #1: Solve Using Complete Substitution 5x + 4y = 32 9x – y = 33 (4 , 3)

  4. Problem #2: Solve Using Complete Substitution 5x + 2y = 9 x + y = -3 (5 , -8)

  5. Problem #3: Solve Using Partial Substitution -5x + 3y = 51 y = 10x - 8 (3 , 22)

  6. Problem #4: Solve Using Partial Substitution 2x - y = 24 x – 9 = -y (11 , -2)

  7. Problem #5: Solve Using Elimination 3x + 4y = -1 5x - 7y = -70 (-7 , 5)

  8. Problem #6: Solve Using Elimination -16x + 2y = -2 y = 8x - 1 Infinite Solutions Because they are the same line

  9. Problem #7: Solve Using Elimination -7x + 10y = 11 -8x + 15y = 34 (7 , 6)

  10. Problem #8: Solve the System of Inequalities x > -2 x + 2y < 4

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