Name
LESSON
6-4
Date
Class
Reading Strategies
Use a Table
The table below can help you answer questions about linear systems.
Classification
Number of
Solutions
Similarities and
Differences in
y  mx  b
Description of
Graphed Lines
Result of Solving
with Algebra
Consistent,
Independent
1
different slopes  m 
intersecting
values for x and y
ex. x  3, y  5
Consistent,
Dependent
infinitely
many
same slope  m 
same y-int.  b 
coincident
identity statement
ex. 4  4
Inconsistent
0
same slope  m 
different y-int.  b 
parallel
false statement
ex. 2  3
1. Mary Kate solved a system by elimination as shown below. Classify the system.
{ 2x2x  3y3y  75 c  2x2x  3y3y  75 
0  2
2. Raul solved a system of equations by substitution.
He ended up with an identity statement. How
many solutions does his system have?
3. How many solutions does a system have if,
when graphed, the lines are the same line?
4. Two equations in a system have the same
slope. Which classification can NOT describe
the system?
5. The graph of a system consists of two intersecting
lines. How many solutions does the system have?
Classify each system, give the number of solutions, and
describe its graph.
6.
{ yy  3x
3x  2
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
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