8.2.4.8
Understand that a system of linear equations may have no solution, one solution, or an infinite number of solutions. Relate the number of solutions to pairs of lines that are intersecting, parallel or identical. Check whether a pair of numbers satisfies a system of two linear equations in two unknowns by substituting the numbers into both equations.
Example Problems
How many solutions does the following equation have?
How many solutions does the following equation have?
How many solutions does the following equation have?
Khan Academy ResourcesNumber of solutions to system of equations reviewNumber of solutions to a system of equations graphicallyNumber of solutions to a system of equations algebraicallySolutions of systems of equationsSystems of equations number of solutions: fruit prices (1 of 2)Number of solutions to a system of equations graphicallySystems of equations number of solutions: fruit prices (2 of 2)Number of solutions to a system of equationsSystems of equations with substitution: y=-1/4x+100 & y=-1/4x+120Systems of equations with graphing: 5x+3y=7 & 3x-2y=8Systems of equations with substitution: y=-5x+8 & 10x+2y=-2Solutions to systems of equations: dependent vs. independentHow many solutions does a system of linear equations have if there are at least two?Number of solutions to a system of equations algebraicallySystem of equations word problem: infinite solutionsSystem of equations word problem: no solutionSystem of equations word problem: walk & ride

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