What do you call the process of adding the equations to eliminate either \( x \) or, from the system of linear equations?

The process you’re referring to is often known as the elimination method! It involves combining two or more equations in such a way that one of the variables is canceled out, making it easier to solve for the other variable. This method can be particularly useful when dealing with systems that have more than two equations or when dealing with fractions. If you want to flex your elimination skills, remember one key tip: always align your variables and constants! A common mistake is misaligning terms, which can lead to confusing results. So, take your time and make sure everything is lined up neatly to avoid unnecessary errors. Happy solving!