Inverse operations

Property An inverse operation undoes another operation. Add ↔ Subtract Multiply ↔ Divide.

Examples To solve $\frac{x}{5} = 10$, you undo the division by multiplying both sides by 5, so $x = 50$. To solve $3x = 15$, you undo the multiplication by dividing both sides by 3, so $x = 5$. To solve $\frac{2}{3}y = 8$, you undo multiplication by $\frac{2}{3}$ by multiplying by its inverse, $\frac{3}{2}$, so $x = 16$.

Explanation Think of these as your equation solving superpowers! To get a variable alone, just use the opposite action. If a variable is being divided, you multiply to set it free. If it's being multiplied, you divide. It's like hitting the rewind button on math to find the hidden answer!