Using Inverse Operations to Solve Linear Equations

Inverse operations are super helpful when we want to solve equations. Let’s break it down:

1. What Are Inverse Operations?

   • Think of addition and subtraction. They undo each other.
   • The same goes for multiplication and division. They also work against each other.

2. How to Use Them:

   • If you want to find out what a variable equals, use the opposite operation:
     • For the equation $x + 5 = 12$, you subtract 5 from both sides: $x = 12 - 5$. So, $x = 7$.
     • For $3x = 15$, divide both sides by 3: $x = 15 ÷ 3$. That means $x = 5$.

3. Why It Matters:

   • Students who regularly use inverse operations can solve problems more accurately.
   • In fact, they see a 20% boost in getting the right answers. This shows just how helpful these operations are when working with linear equations!