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Geometric view of systems of equations

Graphing pairs of lines to find their intersection point, and sketching configurations of three planes that fail to meet in a common point.

Matrix Theory and Linear Algebra, Geometric view of systems of equations

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2 exercises

Exercise 1.1.1

Graphically, find the point $(x,y)$ which lies on both of the lines $x+3y=1$ and $4x-y=3$ . That is, graph each line and see where they intersect.

3.0

Exercise 1.1.2

Graphically, find the point of intersection of the two lines $3x+y=3$ and $x+2y=1$ . That is, graph each line and see where they intersect.

3.0

Adapted from Matrix Theory and Linear Algebra © 2017–2026 Peter Selinger, Lyryx Learning, and Ken Kuttler. Licensed under CC BY 4.0. Source: Matrix Theory and Linear Algebra. Imported at revision d74bc3a.