Solve the system of equations by graphing.

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In the method of graphing the given data, expressions or equations are graphed to solve and analyze the given question. Graphing is a very useful method in mathematics. Graphs give an overview of the question and help in solving the given question much more efficiently. Graphing is used in various branches such as algebra, trigonometry, statistics and many more.

Example 1: Solve by graphing the system of equations x = y and x = 3?

Solution: The given two equations are x = y and x = 3.
Here x, y are the unknown variables in both the equations.
Graph the equation y = x which has slope 1 and passes through (0, 0).
Graph the equation x = 3 which is parallel to the y axis.
The solution will be the point which is at the intersection of both the graphed lines.
Hence the point of intersection is (3, 3).

Hence the solution is equal to (3, 3).

Example 2: Solve by graphing the system of equations x = -1 and y = 3?

Solution: The given two equations are x = -1 and y = 3.
Here x, y are the unknown variables in both the equations.
Graph the equation x = -1 which is parallel to the y axis.
Graph the equation y = 3 which is parallel to the x axis.
The solution will be the point which is at the intersection of both the graphed lines.
Hence the point of intersection is (-1, 3).

Hence the solution is equal to (-1, 3).