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Systems of Linear Equations and Inequalities in Two Variables 3
A
B
Result
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Choose your answer to each question.

1. Which is the correct classification of the following system of linear equations?

{ 2x+y=3 4x+2y=6

inconsistent
consistent and dependent
consistent and independent
Answer: consistent and dependent
2. Which describes the graph of the following system of linear equations?

{ x+3y=1 3x+9y=3

two lines intersecting at exactly one point
two distinct parallel lines
two lines that coincide
Answer: two lines that coincide
3. How many solutions does a consistent and dependent system of linear equations have?
none
exactly one
exactly two
infinite number
Answer: infinite number
4. How many solutions does a consistent and independent system of linear equations have?
none
exactly one
exactly two
infinite number
Answer: exactly one
5. How many solutions does an inconsistent system of linear equations have?
none
exactly one
exactly two
infinite number
Answer: none
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