1. **State the problem:** Solve a system of linear equations using the elimination method. 2. **Explain the elimination method:** The elimination method involves adding or subtracting the equations to eliminate one variable, making it easier to solve for the other. 3. **Set up the system:** Suppose the system is: $$\begin{cases} a_1x + b_1y = c_1 \\ a_2x + b_2y = c_2 \end{cases}$$ 4. **Multiply equations if necessary:** Multiply one or both equations by constants so that the coefficients of one variable are opposites. 5. **Add or subtract the equations:** Add or subtract the equations to eliminate one variable. 6. **Solve for the remaining variable:** Solve the resulting single-variable equation. 7. **Substitute back:** Substitute the found value into one of the original equations to find the other variable. 8. **Check the solution:** Verify the solution satisfies both original equations. Since the specific system was not provided, this is the general method for elimination.