MA.912.AR.9.3
Given a mathematical or real-world context, solve a system consisting of two-variable linear or non-linear equations algebraically or graphically.
Example Problems
We want to find the intersection points of the graphs given by the following system of equations:
One of the intersection points is .
Find the other intersection point.
Your answer must be exact.
One of the intersection points is .
Find the other intersection point.
Your answer must be exact.
We want to find the intersection points of the graphs given by the following system of equations:
One of the intersection points is .
Find the other intersection point.
Your answer must be exact.
One of the intersection points is .
Find the other intersection point.
Your answer must be exact.
We want to find the intersection points of the graphs given by the following system of equations:
One of the intersection points is .
Find the other intersection point.
Your answer must be exact.
One of the intersection points is .
Find the other intersection point.
Your answer must be exact.
Khan Academy ResourcesAge word problemsSystems of equations with graphingSystems of equations with substitutionSystems of equations with eliminationSystems of equations with elimination challengeSystems of equations word problemsSystems of equations word problems (with zero and infinite solutions)Solving equations graphically: word problemsSystems of equations with graphing: y=7/5x-5 & y=3/5x-1Systems of equations with elimination: x-4y=-18 & -x+3y=11Systems of equations with substitution: -3x-4y=-2 & y=2x-5Age word problem: Ben & WilliamAge word problem: Arman & DiyaAge word problem: ImranSystems of equations with elimination (and manipulation)Solving equations by graphing: word problemsSystem 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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