1. Stating the problem: We are asked to formulate and solve a linear motion problem using algebra. 2. Linear motion involves an object moving at a constant speed. The fundamental formula is: $$ s = vt $$ where $s$ is the distance traveled, $v$ is the constant velocity, and $t$ is the time elapsed. 3. Suppose an object moves at $v = 5$ meters per second. We want to find the distance $s$ it travels after $t = 10$ seconds. 4. Plugging values into the formula: $$ s = 5 \times 10 $$ 5. Calculate the product: $$ s = 50 $$ 6. Final answer: The object travels a distance of 50 meters in 10 seconds at a constant velocity of 5 m/s.