8.FGR.7.2
Show and explain that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because the points of intersection satisfy both equations simultaneously.
Example Problems
Do the following equations have the same solution?
Do the following equations have the same solution?
Do the following equations have the same solution?
Khan Academy ResourcesSystems of equations with graphingNumber of solutions to system of equations reviewSubstitution method review (systems of equations)Systems of equations with substitutionSystems of equations with graphingSystems of equations with substitutionSystems of equations word problemsNumber of solutions to a system of equations graphicallyNumber of solutions to a system of equations algebraicallySolutions of systems of equationsSystems of equations: trolls, tolls (2 of 2)Systems of equations: trolls, tolls (1 of 2)Systems of equations with graphing: y=7/5x-5 & y=3/5x-1Systems of equations number of solutions: fruit prices (1 of 2)Number of solutions to a system of equations graphicallySystems of equations with substitution: -3x-4y=-2 & y=2x-5Systems of equations number of solutions: fruit prices (2 of 2)Systems of equations with graphingNumber of solutions to a system of equationsSystems of equations with substitution: y=-1/4x+100 & y=-1/4x+120Systems of equations with substitution: y=4x-17.5 & y+2x=6.5Systems of equations with substitution: 9x+3y=15 & y-x=5Systems of equations with graphing: 5x+3y=7 & 3x-2y=8Systems of equations with graphing: choresSystems of equations with substitution: 2y=x+7 & x=y-4Systems of equations with substitution: y=-5x+8 & 10x+2y=-2Number of solutions to a system of equations algebraically
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