1. **State the problem:** We are given the equation $m \times n = 2x + 3y$ and need to understand or manipulate it. 2. **Identify the variables and operations:** Here, $m$ and $n$ are multiplied, and the product equals the linear expression $2x + 3y$. 3. **Formula and rules:** Multiplication and addition are involved. If you want to solve for one variable, isolate it using algebraic operations. 4. **Example: Solve for $m$:** $$m \times n = 2x + 3y$$ Divide both sides by $n$ (assuming $n \neq 0$): $$m = \frac{2x + 3y}{n}$$ Show cancellation: $$m = \frac{\cancel{n}(2x + 3y)}{\cancel{n} n}$$ 5. **Explanation:** We divided both sides by $n$ to isolate $m$. The $n$ cancels on the right side, leaving $m$ expressed in terms of $x$, $y$, and $n$. 6. **Final answer:** $$m = \frac{2x + 3y}{n}$$