3.1 Solving Systems Using Tables and Graph Name: Intersecting

3.1 Solving Systems Using Tables and Graph
Intersecting Lines
Name:
Coinciding Lines
Systems of Equations:
Solution of a System:
Ex.1
Solve each system of equations by graphing and using a table.
a.
y  x  2

y  2 x  7
Consistent System:
Independent System:
Dependent System:
Inconsistent System:
b.
3x  y  5

x  y  7
Parallel Lines
Ex.2
Solve each system by graphing. Label each as independent, dependent, or inconsistent.
a.
y  2 x  3

6 x  3y  9
Ex.3
Without graphing, classify each system as independent, dependent, or inconsistent.
a.
3x  2y  8

4 y  6 x  5
b.
b.
2 x  2y  4

y  x  6
x  y  3

y  2 x  3
Ex. 4
Find linear models for each set of data. In what year will the two quantities be equal?
Assignment
p. 139 8-30 even, 31-34