1. Chapter 3 Section 1
Systems of Linear Equations in Two Variables All graphs need to be done on graph paper. Four, five squares to the inch is the best. One unit = one square

2. Solutions One ordered pair No solution Infinitely many solutions
The two lines intersect at one point.
Consistent system
No solution
The two lines are parallel.
Dependent system
Infinitely many solutions
The two lines are identical.
Same line
Inconsistent system.

3. System of Linear Equations
Two or more linear equations
Solution
The ordered pair that satisfies both equations.
When graphing, the point where the two lines intersect.

4. Writing the Solution If two line cross at (3,4) Solution:
Solution: x = 3 and y = 4
The intersection is (3, 4).

5. Systems of Equations and Their Solutions
Is (7, 2) a solution to the system?
Is (-3, - 4) a solution to the system?

6. Solve the system by graphing
c) d) Note: Find the point of intersection.

7. Solve the system by substitution
e) f) Note: Find the point of intersection.

8. Solve the system by addition
g) h)

9. Solve the system i)