# Using Linear Systems To Solve Problems

The first trick in problems like this is to figure out what we want to know.This will help us decide what variables (unknowns) to use.

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Now, you can always do “guess and check” to see what would work, but you might as well use algebra!

It’s much better to learn the algebra way, because even though this problem is fairly simple to solve, the algebra way will let you solve any algebra problem – even the really complicated ones.

Just as with the substitution method, the elimination method will sometimes eliminate both variables, and you end up with either a true statement or a false statement.

Recall that a false statement means that there is no solution.

Instead, it would create another equation where both variables are present.