Solving by Elimination

Solving by elimination is a fundamental technique in mathematics used to solve systems of linear equations. This method involves manipulating equations to eliminate one variable, allowing for the solution of the remaining variable. By systematically adding or subtracting equations, one can simplify the system until only one variable remains, which can then be solved. Solving by elimination is particularly useful when dealing with two equations and two variables, providing a systematic approach to find the unique solution of the system. This method is widely applicable in various fields, including physics, engineering, and economics, where systems of equations arise frequently.