Solving Linear Equations

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form ax + b = c, where a, b, and c are constants.

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Solving a linear equation means finding the value of the variable that makes the equation true.

The first step is to get all terms involving x on one side and constant terms on the other side.

The solution is x = 4.

You substitute the solution back into the original equation to see if both sides are equal.

The solution is x = 2.

The slope indicates the steepness of the line and the direction it goes. A positive slope means the line rises, while a negative slope means it falls.

The solution is x = 1/2.

It means that the lines represented by the equations are parallel and will never intersect.