In this lesson on Table of Values in Linear Algebra, the speaker explains how to find all the values for x and y that work for an equation with two variables, without taking forever. By filling in the values of x in a table, and plotting the ordered pairs on a coordinate plane, we can get a set of dots that will make a straight line, where any point on that line is a solution to the equation. With only four points it is possible to find the unique perfect straight line, and then any answer can be found by matching the coordinates on that blue line.
Brief explanation of the Table of Values in Linear Algebra for equations with two variables.