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Learning Goal

‹2 of 3 in this skill_area›

Number of solutions for systems

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

"For a system of linear equations in two variables, determine the conditions under which the system has no solution, a unique solution, or infinitely many solutions." "Make connections between an algebraic representation and a graph of a system of linear equations in two variables not in context." "Make connections between an algebraic representation and a graph of a system of linear equations in two variables in a context."

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"For a system of linear equations in two variables, determine the conditions under which the system has no solution, a unique solution, or infinitely many solutions."
"Make connections between an algebraic representation and a graph of a system of linear equations in two variables not in context."
"Make connections between an algebraic representation and a graph of a system of linear equations in two variables in a context."

What you'll learn

  1. Determine whether a system of two linear equations has exactly one solution, no solution or infinitely many, from its slopes and intercepts or from whether one equation is a multiple of the other
  2. Connect each case to intersecting, parallel, or coincident lines
  3. Read the outcome when elimination cancels both variables: a true statement or a false one
  4. Find the value of a parameter for which a system has no solution or infinitely many solutions, using the constants to tell the two apart

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