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Solving Linear Systems Algebraically

Learn how to solve linear systems through linear combination/elimination method. Steps include arranging equations, adding variables, replacing values, and checking solution with examples. Practice problems included.

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Solving Linear Systems Algebraically

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  1. Solving Linear Systems Algebraically Solving Linear Systems Algebraically Section 3-2

  2. Steps in Elimination AKA: “Linear Combination” • Steps: • ARRANGEequations in like terms and multiply a term to attempt to cancel out a variable • ADD the variables where at least one variable cancels out • REPLACEthe value into either equation • CHECK the solution

  3. Example 1 • Solve using Elimination (2)

  4. Example 1 • Solve using Elimination

  5. Example 1 • Solve using Elimination

  6. Example 2 • Solve using Elimination (2) (3)

  7. Example 2 • Solve using Elimination 4.CHECK the solution

  8. Your Turn • Solve using Elimination (-3) 3-2 - Solving Systems through Substitution

  9. Three pizzas and four sandwiches cost $34. Three pizzas and seven sandwiches cost $41.50. How much does a pizza cost? How much does a sandwich cost? (-1) Let x = pizza Let y = sandwich Pizza cost $8 Sandwich cost $2.50

  10. Sally has $21.40 in dimes and quarters, for a total of 100 coins. How many of each kind of coin does Sally have? (-10) Let d= dimes Let q = quarters 24 dimes 76 quarters

  11. Assignment • Page 194 (6-9, 19, 20) • Write the Problem!!! • Show ALL WORK—STEPS • Be NEAT

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