Chapter 6: Linear Equations in Two Variables
6 lessons
A single linear equation in two variables has infinitely many solutions, forming a straight line when graphed. Linear Equations in Two Variables covers writing equations in standard form, finding multiple solutions, plotting them, and the special cases of lines parallel to the axes.
Setting up the next chapter
This infinite-solutions idea is exactly what Class 10's Pair of Linear Equations narrows down to one, by combining two such equations together — a single equation like x+y=10 is satisfied by (1,9), (5,5), (8,2), and infinitely many other pairs. A common oversight here is forgetting that a solution needs two coordinates, not one number — and calculation slips while finding a y-value for a chosen x (or the reverse) are what usually throws off a plotted line.