1. Chapter 6
Systems of Linear Equations

2. 6.1 Using Graphs and Tables to Solve Systems

3. A system of linear equations in two variables (linear system) consists of two or more linear equations in two variables.
y = 2x + 1
y = 4x - 1

4. Solution
An ordered pair (a,b) is a solution of the system if it satisfies both equations.
The solution set of the system is the set of all solutions/ordered pairs (a,b)
The intersection of the linear equations is the only point that satisfies each equation.
Three main ways to solve systems: graphing, substitution, and elimination.

5. Solving by graphing: 1) by hand 2) using graphic calc:
By hand: 1) graph each equation by hand
2) find the intersection point visually

6. By calc: 1) graph each equation using y =
2) zoom 6 to display the lines
3) 2nd calc>intersect>first curve>enter>
second curve>enter>Guess> enter

17. Types of solutions:
y = x y = 2x +1 y =2x – 1
y = x – y = (1/2)x – 2 y =4x – 2