Additioeliminaatio

Additioeliminaatio is a method of solving linear equations, particularly those involving a single variable. The term is derived from the Latin words "additio" meaning addition and "eliminaatio" meaning elimination. This method involves manipulating the equation to isolate the variable on one side of the equation.

The basic principle of additioeliminaatio is to perform the same operation on both sides of the equation to maintain equality. This can involve adding or subtracting a constant from both sides, or multiplying or dividing both sides by a non-zero constant. The goal is to simplify the equation until the variable is isolated on one side.

For example, consider the equation 3x + 5 = 14. To solve for x using additioeliminaatio, first subtract 5 from both sides to get 3x = 9. Then, divide both sides by 3 to isolate x, resulting in x = 3.

Additioeliminaatio is a fundamental technique in algebra and is often used in conjunction with other methods, such as substitution and elimination, to solve systems of linear equations. It is particularly useful when dealing with equations that are not easily factored or when the goal is to find the value of a single variable.