Basic Algebra/Systems of Linear Equations/Solving Linear Systems by Graphing

In Algebra, the linear equation is defined as an algebraic equation, in which each term has an exponent value of 1. If the linear equation is graphed, it should always result in a straight line. The system of linear equations contains two or more linear equations. While solving the system of linear equations graphically, we have to graph the equations in the same coordinate system. The point at which the straight lines intersects is called the solution of the linear equation. The solution to the system of linear equations is an ordered pair, which satisfies the given equations.

Now, let us solve the system of linear equations by the graphical method.

Consider two linear equations,

y = x-1

y= 2x+2

Now, graph the equations in the coordinate plane.

Now, the two linear equations intersect at the common point (-3, -4), which is the solution for the given system of linear equations.