Linear Systems

Dec 25, 2025

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Explore the fundamentals of linear systems in this engaging unit. A linear system consists of two equations with two variables, and a solution is a set of values that satisfy all equations. Learn how to determine if a point, such as (-2, 4), is a solution to given systems. Master graphical techniques by representing equations in slope-intercept form and finding intersection points. Stay motivated, complete your practice worksheets, and enhance your algebraic skills for successful problem-solving in linear equations.

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Linear Systems

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Linear Systems Math 8: Unit 3 Mrs. Tyrpak
Linear System • A linear system is a set of two equations that contain two variables. • A solution to a linear system is a set of values that work for ALL equations.
Is (-2, 4) a solution to the following systems? 2x + 3y = 8 5x + y = 7 x – 4y = 15 x – 3y = 11
Solving a system graphically Solve: y = x + 3 y = 2x + 5 Graph the following lines and label their point of intersection.
Solve Graphically 3x + y = 8 4x – 2y = 14 In order to graph we must put in slope intercept form.
Solve Graphically
Solve Graphically
Keep up the GREAT work! Don’t forget to complete your practice and application worksheets. We are beginning to work more algebraically so check your work when possible 