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In this chapter, we will focus on understanding the basic concepts of linear equations in two variables. A linear equation in two variables is an equation that involves two unknowns, usually represented by x and y, and can be written in the form ax + by + c = 0. These equations represent straight lines when plotted on a graph.
We will also learn about the types of solutions such equations can have. When a pair of linear equations has at least one common solution, it is called a consistent system. If the equations have exactly one solution, the lines intersect at a single point. If they have infinitely many solutions, the lines overlap each other. On the other hand, if the equations have no common solution, they are called inconsistent, and the lines are parallel.
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