Lineaarvõrrandeid

Lineaarvõrrandeid is the Estonian term for linear equations. A linear equation is a mathematical equation in which the highest power of the variable is one. It typically involves one or more variables, constants, and mathematical operations such as addition, subtraction, and multiplication. The general form of a linear equation with one variable is ax + b = 0, where 'a' and 'b' are constants and 'x' is the variable. For linear equations with two variables, the general form is ax + by = c, where 'a', 'b', and 'c' are constants and 'x' and 'y' are the variables.

Solving a linear equation involves finding the value of the variable(s) that makes the equation true. This is often achieved by isolating the variable on one side of the equation through a series of algebraic manipulations. For instance, in ax + b = 0, one would subtract 'b' from both sides to get ax = -b, and then divide both sides by 'a' (assuming 'a' is not zero) to find x = -b/a.

Linear equations are fundamental in algebra and have wide-ranging applications in various fields, including physics, engineering, economics, and computer science. They are used to model relationships between quantities that change at a constant rate, such as distance traveled at a constant speed or the cost of a certain number of items at a fixed price. Systems of linear equations, which consist of two or more linear equations, are used to solve problems involving multiple unknown quantities that are related to each other.