# System of equations

## Systems of equations overview

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Systems of equations: trolls, tolls (1 of 2)Systems of equations: trolls, tolls (2 of 2)Systems of equations with elimination: King's cupcakesSystems of equations with elimination: potato chipsSystems of equations with substitution: potato chipsSystems of equations number of solutions: fruit prices (1 of 2)Systems of equations number of solutions: fruit prices (2 of 2)

## Introduction to systems of equations

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Systems of equations: trolls, tolls (1 of 2)Testing a solution to a system of equationsSystems of equations: trolls, tolls (2 of 2)Systems of equations with graphing: y=7/5x-5 & y=3/5x-1Systems of equations with graphing: exact & approximate solutions

## Equivalent systems of equations and the elimination method

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Systems of equations with elimination: King's cupcakesSystems of equations with elimination: x-4y=-18 & -x+3y=11Systems of equations with elimination: potato chipsSystems of equations with elimination (and manipulation)Why can we subtract one equation from the other in a system of equations?Worked example: equivalent systems of equationsWorked example: non-equivalent systems of equationsSolving systems of equations by elimination (old)Elimination method review (systems of linear equations)Equivalent systems of equations review

## Solving systems of equations with substitution

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Systems of equations with substitution: potato chipsSystems of equations with substitution: -3x-4y=-2 & y=2x-5Solving linear systems by substitution (old)Substitution method review (systems of equations)

## Manipulating expressions with unknown variables

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Manipulating expressions using structureManipulating expressions using structure (example 2)

## Number of solutions to systems of equations

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Systems of equations number of solutions: fruit prices (1 of 2)Systems of equations number of solutions: fruit prices (2 of 2)Solutions to systems of equations: consistent vs. inconsistentSolutions to systems of equations: dependent vs. independentNumber of solutions to a system of equationsNumber of solutions to a system of equations graphicallyNumber of solutions to a system of equations algebraicallyHow many solutions does a system of linear equations have if there are at least two?Number of solutions to system of equations review
Practice

## Systems of equations word problems

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Age word problem: ImranAge word problem: Ben & WilliamAge word problem: Arman & DiyaSystem of equations word problem: walk & rideSystem of equations word problem: no solutionSystem of equations word problem: infinite solutionsSystems of equations with elimination: TV & DVDSystems of equations with elimination: apples and orangesSystems of equations with substitution: coinsSystems of equations with elimination: coffee and croissants

## Solving equations by graphing (Algebra 2 level)

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Interpreting equations graphicallyInterpreting equations graphically (example 2)Solving equations graphically (1 of 2)Solving equations graphically (2 of 2)Solving equations graphically

## Systems with three variables

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Intro to linear systems with 3 variablesSolving linear systems with 3 variablesSolving linear systems with 3 variables: no solution3-variable linear system word problem

#### Unit test

Test your understanding of System of equations with these 14 questions.