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Download C3 L8 Solve systems algebraically
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Transcript
38:Solve Systems of Equations Algebraically What is Substitution is an Substitution ? algebraic model that can be used to find the exact solution of a system of equations. Example 1b: Solve each system Page 244 of equations 1. Substitute one algebraically. equation into the y = x – 6 other equation. y = 3x 2. Solve for the variable. 3. Substitute the answer into the equation. 4. Solve for the other variable. SlopeIntercept Form and Standard Form Equations: Example 2d: Page 245 Example 3e and f: Page 246 y = 3x + 2 6x + 4y = 12 Solve: y = 2x + 1 3x + y = 26 Mr. Thomas cooked 45 hamburgers and hot dogs at a cookout. He cooked twice as many hot dogs as hamburgers e) Write a system of equations to represent this situation. f) Solve the system algebraically. Interpret the solution. You substitute one equation into the other to solve for each variable. 1. Substitute one equation into the other equation. 2. Solve for the variable. 3. Substitute the answer into the equation. 4. Solve for the other variable. Summary:
