How to solve systems of linear equations by graphing , examples, pictures, practice. The first step is to graph both equations and then you... What is a System? What is the solution of the following system of equations? Graph both equations On the right, the graph of the two lines The solution of the system is the point of intersection : (1, 2)

3. Graphical Solution of a System of Linear Equations 3. Graphical Solution of Linear Systems 3. Graphical Solution of a System of Linear Equations A 2 × 2 2× 2 system of equations is a set of 2 equations in 2 unknowns which must be solved simultaneously (together) so that the solutions are true in both equations.

In this explainer, we will learn how to solve a system of two linear equations by considering their graphs and identifying the point of intersection. When we are asked to solve a system of equations, this means we are looking for a set of values for the variables that satisfy every equation.

An example of a system of two linear equations is shown below. We use a brace to show the two equations are grouped together to form a system of equations. A linear equation in two variables, like 2 x + y = 7, has an infinite number of solutions. Its graph is a line.