Q:

# What is the procedure for solving equations graphically?

A:

To solve an equation in one variable graphically, first manipulate the equation to put it in the form f(x) = 0, where x represents the variable present in the equation. Then use mathematical software, a graphing calculator or graph paper to plot the line y = f(x). The solution to f(x) = 0 is the point or points at which the line crosses the x-axis.

## Keep Learning

Credit: Jeffrey Coolidge The Image Bank Getty Images

The graphical method of solving equations finds the point at which the lines y = f(x) and y = 0 intersect, which is the point at which f(x) = 0. If the line y = f(x) never crosses the x-axis, then the equation f(x) = 0 has no solution.

The limitation of graphical solutions is that only equations with one or two independent variables can be solved with this method. An equation with one variable leads to a two-dimensional plot; an equation with two variables leads to a three-dimensional plot. Plots with four or more dimensions are difficult to visualize accurately. It is also possible to solve sets of equations graphically by plotting each equation on the same plot. The point at which all of the lines (one variable) or planes (two variables) intersect, if there is one, is the solution to the set of equations.

Sources:

## Related Questions

• A: A linear equation solver takes a specified number of linear equations and solves them using established methods. Make sure to review what each program/webs... Full Answer >
Filed Under:
• A: To solve one-step equations, perform the correct mathematical operation to get the variable by itself, and perform the same operation on the other side of ... Full Answer >
Filed Under:
• A: The graph of a linear equation forms a straight line, while a non-linear equation's graph does not form a straight line.Most equations can be graphed on a ... Full Answer >
Filed Under:
• A: The distributive property in algebra simplifies equations by altering them from their original form a(b+c) to the easier-to-solve form of ab + ac. The dist... Full Answer >
Filed Under:
PEOPLE SEARCH FOR