What is a System of Linear Equations? 🧐
A **system of linear equations** is a set of two or more equations with the same variables. The solution is a point (an x and a y value) that satisfies all equations in the system. Graphically, this is the point where all the lines intersect.
This tutorial will cover the three main methods for finding these solutions: **graphing**, **substitution**, and **elimination**.
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Video: Solving Systems of Linear Equations 🎬
This video will show you the three primary methods for solving systems of linear equations. Turn on the captions to follow along with the audio!
Practice Problems
Solve for x and y. Enter your answers as a comma-separated list, e.g., "x=2, y=3". Order does not matter.
1) Solve by Substitution:
$y = 3x - 1$
$2x + y = 9$
$y = 3x - 1$
$2x + y = 9$
Answer:
2) Solve by Elimination:
$x + 2y = 7$
$x - 2y = 3$
$x + 2y = 7$
$x - 2y = 3$
Answer:
3) Solve:
$2x + 3y = 8$
$4x + 2y = 4$
$2x + 3y = 8$
$4x + 2y = 4$
Answer:
4) Solve:
$3x - y = 8$
$x + 2y = 5$
$3x - y = 8$
$x + 2y = 5$
Answer:
⚡ Solving Speed Quiz
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