Mathematical linear equations are used in several fields in real life. Linear equations are applied in situations where there are unknown quantities or identities, and users are therefore tasked to find the values of the unknown aggregates. Linear equations are used to figure out income over time, calculate mileage rates, or predict profit. They are also used in calculating speed, time, and distance covered by moving objects (Farin & Hansford, 2021). A good example is taking a taxi for a ride around town. Suppose the taxi charges 0.5 dollars per mile and a service fee of 10 dollars to pick you up from your residence. You can create a linear equation that can be used to calculate the total cost of the taxi. Let x be the number of miles covered to your destination, and y represents the total cost of the taxi ride. Then the equation would be y = 0.5 (x) + 10.
Reference
Farin, G., & Hansford, D. (2021). Practical linear algebra: a geometry toolbox. Chapman and Hall/CRC.