lesson
Determining the Number of Solutions in a System
Determine whether a system of two linear equations has one solution, no solution, or infinitely many solutions without fully solving.
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Algebraic Solutions and Analysis of Systems
6 lessons
Goal
Solve systems of linear equations algebraically using substitution and elimination, and determine the number of solutions for a given system.
6 lessons
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- Solving Systems by SubstitutionUp next
- Solving Systems by EliminationNot started yet
- Choosing the Best Method for Solving SystemsNot started yet
- Systems with No Solution or Infinitely Many SolutionsNot started yet
- Solving Simple Cases by InspectionNot started yet
- Determining the Number of Solutions in a SystemYou are here
Learning standards covered
8.EE.C.8Common Core State Standards · Math · 8th GradeAnalyze and solve pairs of simultaneous linear equations.
Open Global Standard:OGM.9.ALG.5
8.EE.C.8.bCommon Core State Standards · Math · 8th GradeSolve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
Open Global Standard:OGM.9.ALG.5
OGM.9.ALG.5