The question asks for three methods commonly used for solving a system of equations. Here's the breakdown:

Correct Answer:

Substitution, graphing, and elimination.

Explanation:

1. Substitution: Involves solving one equation for one variable and substituting that expression into the other equation.
2. Graphing: Plotting both equations on a graph and finding the point(s) where they intersect.
3. Elimination: Involves adding or subtracting equations to eliminate one variable and solve for the other.

Other methods like "evaluation" are not standard techniques used for solving systems of equations.

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Here are 5 related questions to expand on this:

1. What are the advantages and disadvantages of using substitution versus elimination?
2. How do you solve a system of equations graphically if there are no intersection points?
3. Can substitution and elimination be used for systems with more than two equations? How?
4. How do you identify whether a system of equations has no solution, one solution, or infinitely many solutions?
5. How is solving a system of nonlinear equations different from solving linear systems?

Tip: Always check your solution by substituting it back into the original equations to ensure accuracy!