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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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6-2 review Miss battaglia – algebra 1 CP Objective: solving systems of linear equations by substitution
Warm up • Write a system of linear equations with exactly one solution. Use substitution to solve your system.
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.
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
Solving systems with one solution • Solve the system using substitution. • y = 2x • 7x – y = 15
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.
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
Classwork/ homework • 6-2 worksheet