👉 Elimination math, also known as Gaussian elimination, is a systematic method for solving systems of linear equations by transforming the augmented matrix representing the system into a simpler form, typically row-echelon form or reduced row-echelon form. This process involves a series of operations on rows, such as swapping rows, multiplying rows by non-zero constants, and adding or subtracting multiples of one row to another, to eliminate variables step-by-step. By doing so, the system becomes easier to solve for the remaining variables, ultimately allowing you to find their values without directly solving for each variable individually. This method is particularly useful for larger systems where other methods, like substitution or inverse matrices, may become cumbersome.