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Solving Systems of Equations: Substitution vs. Elimination

Learn how to justify and solve systems of equations or inequalities using substitution and elimination methods. Practice graphing equations and find solutions.

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Solving Systems of Equations: Substitution vs. Elimination

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  1. Warm up Feb 5, 2013 • Rewrite each in slope intercept form: 1. 30x + 5y = 5 • x – y = -5 • 4x + 2y = -6 • 2x – 4y = 6 • 3x + 5y = 15

  2. CCGPS Coordinate AlgebraDay 19 (2-1-13) UNIT QUESTION: How do I justify and solve the solution to a system of equations or inequalities? Standard: MCC9-12.A.REI.1, 3, 5, 6, and 12 Today’s Question: When is it better to use substitution than elimination for solving systems? Standard: MCC9-12.A.REI.6

  3. Solve Systems of Equations by Graphing

  4. Steps to Graphing • Make sure each equation is in slope-intercept form: y = mx + b. • Graph each equation on the same graph paper. • The point where the lines intersect is the solution. If they don’t intersect then there’s no solution. • Check your solution algebraically.

  5. 1. Graph to find the solution. Solution: (-1, 3)

  6. 2. Graph to find the solution. No Solution

  7. 3. Graph to find the solution. Solution: (-3, 1)

  8. 4. Graph to find the solution. Solution: (-2, 5)

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