To solve equations and inequalities with multiple variables, you typically start by simplifying the expressions and isolating variables when possible. For systems of equations, you can use the substitution or elimination method to reduce the system to a single-variable equation, solve for one variable, and then substitute back to find the others. For inequalities, solve similarly but be mindful of the direction of the inequality, especially when multiplying or dividing by a negative number. Graphical methods can also be used, particularly for visualizing solutions of systems or inequalities. Finally, always verify the solutions by substituting them back into the original equations or inequalities.

Do you want to explore this topic further, or have any specific questions?

1. What is the graphical method for solving systems of inequalities?
2. How do you know when to use substitution vs. elimination?
3. What are some common mistakes when solving inequalities?
4. How do you interpret the solution of a system with no intersection point?
5. Can systems of inequalities have multiple solution regions?

Tip: Use graphing as a visual check when solving complex systems of equations or inequalities.