#Linear and Quadratic Systems: Your Ultimate Guide 🚀

Hey! Let's make sure you're totally ready for anything the AP SAT (Digital) throws at you on linear and quadratic systems. This guide is designed to be your go-to resource for a quick, confident review. Let's dive in!

#Solving Systems of Linear Equations

### Methods for Solving Linear Systems
- A system of linear equations is just a set of two or more equations with the same variables. - The solutions? They're the points where the lines cross on a graph. - **Substitution:** Solve one equation for one variable, then plug that into the other equation. - **Elimination:** Add or subtract the equations to get rid of one variable. - **Graphing:** Plot the lines and see where they intersect. - Remember: The intersection point (x, y) gives you the solution.
### Practical Applications
- These systems model real-world stuff, like where supply meets demand. - They're also used in optimization problems to find the best solutions. - Even computer graphics use them to find where lines and planes intersect.
## Solutions to Linear Systems
### Types of Solutions
- **One solution:** Lines intersect at one point. - **No solution:** Lines are parallel and never meet. - **Infinitely many solutions:** Lines are the same, just written differently (they overlap completely).
### Determining Solution Types
- Compare the **slopes** and...