8.2.4.7

Represent relationships in various contexts using systems of linear equations. Solve systems of linear equations in two variables symbolically, graphically and numerically.

Example Problems
Do the following equations have the same solution?

Do the following equations have the same solution?

What is the result of adding these two equations?

Khan Academy Resources
Systems of equations with graphingNumber of solutions to system of equations reviewSubstitution method review (systems of equations)Systems of equations with substitutionAge word problemsSystems of equations with graphingSystems of equations with substitutionSystems of equations word problemsNumber of solutions to a system of equations graphicallySystems 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)Age word problem: Ben & WilliamAge word problem: Arman & DiyaSystems of equations with graphingSystems 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=8Testing a solution to a system of equationsSystems of equations with graphing: choresSystems of equations with substitution: 2y=x+7 & x=y-4Systems of equations with substitution: y=-5x+8 & 10x+2y=-2Systems of equations with substitution: coinsSolutions to systems of equations: dependent vs. independentNumber 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 & rideSystems of equations with graphing: exact & approximate solutions
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