The last step of solving a system of equations and checking your answer is typically graph the lines.
Graphing the lines can visually confirm the solution you found algebraically. If the lines intersect at the point you calculated, it verifies that your solution is correct. If they do not intersect or if they intersect at a different point, it may indicate an error in the solving process.
Here's a brief rundown of the steps involved:
- Solve the system of equations algebraically or through substitution/elimination.
- Verify your solution by substituting it back into the original equations.
- Graph the lines to visually identify the intersection point.
So, while making a table of solutions and estimating the intersection point can also aid in understanding the solution, graphing the lines serves as a final verifying step.