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Math Vocabulary
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Gravity
Key Concepts:
Terms in this set (15)
Line in a Line
y = 2x + 1
y = 2x + 1
Infinite Solutions
Intersecting Lines
One Solution
Parallel Lines
y = 2x + 6
y = 2x - 4
No Solution
Consistent
If a system has one or more solutions, solution or solutions happen or exist. Examples are intersecting lines and a line in a line.
Inconsistent System
If a system has no solutions. For example, parallel lines.
Dependent System
If a system has an infinite number of solutions (same line).
Independent Solution
If a system does not have an infinite number of solutions (each equation is unique).
Consistent Independent Example
y = 2x - 4
y = 6x + 2
1 Solution
Consistent Dependent Example
y + 2x = 4
y + 2x = 4
Infinite Solutions
Two or more linear equations in two variables form a _______.
system
A _______ of a system of two equations in two variables is an ordered pair that makes both equations true.
solution
A(n) _______ system of equations has at least one solution.
consistent
A(n) _______ system of equations has no solution.
inconsistent
A consistent system with two of the same equations are described as _______.
dependent
A consistent system with two separate equations are described as _______.
independent
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