1. The problem is to solve a system of linear equations without using vectors, suitable for grade 10 level. 2. We use substitution or elimination methods to solve such systems. 3. Suppose the system is: $$\begin{cases} ax + by = c \\ dx + ey = f \end{cases}$$ 4. Using elimination, multiply equations if needed to align coefficients and add or subtract to eliminate one variable. 5. Solve for the remaining variable, then substitute back to find the other. 6. This method uses basic algebraic operations and is straightforward for grade 10 students.