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Solving Systems of Linear Equations by Substitution

Learn how to solve systems of linear equations using substitution. Practice identifying parallel and perpendicular lines and solving systems with one solution. Complete the 6-2 worksheet for classwork or homework.

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Solving Systems of Linear Equations by Substitution

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  1. 6-2 review Miss battaglia – algebra 1 CP Objective: solving systems of linear equations by substitution

  2. Warm up • Write a system of linear equations with exactly one solution. Use substitution to solve your system.

  3. Quick review!!! • Explain how you can determine if 2 lines are parallel. Provide an example of 2 parallel lines. • Explain how you can determine if 2 lines are perpendicular. Provide an example of 2 perpendicular lines.

  4. Solving systems with one solution • Substitution allows you to create a one-variable equation. • Solve the system using substitution. • y = x + 2 • y = - x + 4

  5. Solving systems with one solution • Solve the system using substitution. • y = 2x • 7x – y = 15

  6. example • Miss B’s chalkboard is a rectangle that is 4 times longer than it is wide (l = 4w). The perimeter of the chalkboard is 30 ft (2l + 2w = 30). Find the dimensions of Miss B’s chalkboard.

  7. Without using substitution, decide whether each system has no solution or infinitely many solutions. (Hint: Write each equation in slope-intercept form and compare). • y = 4x b. 5x – y = 1 • 2x – 0.5y = 0 5x – y = 7

  8. Classwork/ homework • 6-2 worksheet

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