Why do we solve using elimination

The video tutorial explains the concept of elimination in solving equations. It begins by discussing when and how to use elimination, contrasting it with substitution. The instructor provides examples to illustrate the process of adding and subtracting equations to eliminate variables. The tutorial also covers manipulating equations to have the same coefficients and using multiplication to facilitate elimination. Advanced techniques and complex problem-solving strategies are demonstrated, emphasizing the importance of understanding coefficients and signs in equations.

When is it a good idea to use elimination in solving equations?

Explain how you can eliminate a variable by adding or subtracting equations.

What should you do if the coefficients of the variables are the same but have different signs?

How can you manipulate equations to have the same signs for the variables?

Describe the process of using substitution as an alternative to elimination.

What steps would you take to solve an equation by elimination if the variables do not have the same coefficients?

What is the least common multiple and how is it used in elimination?