1. Let's understand the problem: "When solving a system by elimination, what is the main goal?" 2. A system of equations involves finding values for variables that satisfy all equations simultaneously. 3. The elimination method focuses on eliminating one variable to simplify solving the system. 4. This is done by adding or subtracting the equations so that one variable cancels out. 5. Once one variable is eliminated, you can solve for the remaining variable easily. 6. The other options, like substituting equations or graphing lines, are different methods or steps, but not the main goal in elimination. 7. Multiplying both equations by zero would just give a trivial equation and is not a correct strategy. Final answer: The main goal in the elimination method is to add or subtract the equations to eliminate one variable.