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3-2 Solving Systems Algebraically (p. 125)

3-2 Solving Systems Algebraically (p. 125). Algebra 2 Prentice Hall, 2007. Content Objectives. You will… Solve a system of linear equations using the process of SUBSTITUTION . Solve a system of linear equations using the process of ELIMINATION .

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3-2 Solving Systems Algebraically (p. 125)

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  1. 3-2 Solving Systems Algebraically (p. 125) Algebra 2 Prentice Hall, 2007

  2. Content Objectives You will… • Solve a system of linear equations using the process of SUBSTITUTION. • Solve a system of linear equations using the process of ELIMINATION. • Be able to decide which method would be the easiest to use.

  3. Substitution Method • Choose 1 equation and solve for the “easiest” variable. • Substitute that “expression” into the other equation for the variable it represents. • Solve for the 2nd variable. • Substitute the value of that variable into 1 of the 2 original equations to find the value of the 1st variable.

  4. Example • Solve the system using substitution: • Hint: Solve for y in the 1st equation.

  5. Example • Solve the system using substitution: • Hint: Solve for x in either equation.

  6. Elimination Method • Write both equations in Standard Form. • “Doctor-up” 1 or both equations so that the x’s OR y’s are zero pairs. • Combine the 2 equations, thereby eliminating one of the variables. • Solve for the remaining variable. • Substitute the value of that variable into either of the original equations to find the other variable.

  7. Example • Solve the system using elimination: • Hint: Doctor-up one equation in order to eliminate x.

  8. Example • Solve the system using elimination: • Hint: Doctor-up both equations in order to eliminate x OR y... Your choice!

  9. Example • Solve the system using whichever method you want: • No Solution!

  10. What if…? • … both variables get eliminated and you end up with a falsestatement? NO Solution • … both variables get eliminated and you end up with a truestatement? Infinite # of Solutions

  11. Homework • 3-2 p. 128: m.o.5 (5-50)

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