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TODAYS OBJECTIVES
• Students will be able to solve problems that involve systems of linear equations in two variables graphically and algebraically, including:• Explain, using examples, why a system of
equations may have no solution, one solution, or an infinite number of solutions• Explain a strategy to solve a system of linear
equations• Solve a problem that involves a system of linear
equations
VOCABULARY
• Infinite:• endless amount or number, unlimited
•Coincident lines:• two lines that have the same graph (same slope
and y-intercept)
PROPERTIES OF LINEAR SYSTEMS
• There are three possible solution sets in a system of linear equations:• 1) One solution – Lines intersect once,
different slopes• 2) No solution – Parallel lines, same
slope, different y-intercepts• 3) Infinite solutions – same lines, same
slopes, same y-intercepts
YOUR TURN
• Create a linear system with no solutions, one solution, and infinite solutions, given the equation -6x + y = 3.• Solutions:
HOMEWORK
• pg. 448-449, #6, 8, 12-17, 19-20, 23• Next class we will have an assignment to
be handed in for marks. The class after that, we will have a Chapter 7 test.