Linear Equation Solver

What is a linear (first-degree) equation?

A first-degree equation is a linear mathematical equation written in the form ax + b = 0, where a and b are constants and x is the unknown variable. It is characterized by a single x term of degree 1. Solving the equation means finding the value of x.

To save time, you can solve this type of equation with this online tool.

Moreover, this equation solver gives the result both as a number and as a fraction, and details the steps needed to solve the equation.

Solve an equation online

Solving a linear equation with this calculator is very simple. Just type the equation in the field, and the solution appears. This method lets you quickly determine the unknown x using an efficient online tool.

The solver returns the result as a number and as a fraction.

How to use the solver?

To solve an equation with this solver, use the "Equation ➧ linear" field. The value of the unknown x is then displayed automatically as a number and as a fraction.

Here is another example, solving the equation: 5x-3=2x+4!

Using fractions

You can use fractions in your equation in the "a/b" or "-a/b" formats, but not in the "a/-b" format.

Using negative numbers

You can also use negative numbers in the equation.

What is a linear equation used for?

A first-degree equation describes a linear relationship between an unknown variable and constants.

It is used to solve simple calculations or to model, in a simplified way, physical phenomena (such as the distance traveled at constant speed) or economic ones (for example a fixed cost plus a proportional cost).

It takes the form y = ax + b, where a and b are constants, and its graph is a straight line. It is a fundamental tool in mathematics, in particular for understanding the notions of slope and intersection, and for tackling systems of equations.

To solve an equation quickly, this online tool is very handy.

Tips for solving a linear equation

When you tackle a first-degree equation, here are a few tips to keep in mind.

• Isolate the unknown variable (x) on one side of the equation. This often simplifies the solving process.
• If you have a fraction, try multiplying both sides of the equation to eliminate the denominator.
• If you have like terms on both sides of the equation, combine them to simplify the equation.
• Always do a quick check after finding the value of x. Substitute x with its value in the original equation to make sure it is correct.

Keyboard shortcuts

m ⇝ Clear

f ⇝ Save

Clear everything

To save time, you can press the Clear button to erase all the data.

Save the equation and its solution

You can save the equation and its solution by pressing the Save button. This lets you easily find your calculations later.

Export the saved results

You can export your saved results in CSV or PDF format.