This powerpoint was created to explain the basic reason we can use linear combination to solve some systems of equations. The full version includes a quick application problem for a warm-up involving shopping.
Then they begin solving simple addition and subtraction problems and showing that they can combine equations and they would still be equivalent. Then it moves into using the same basic idea using variables.
In my experience, you're able to build confidence in your struggling learners while building a foundation for solving sytems by combination. The preview file shows it best!