SOLUTION: If a system of linear equations intersects at every point what does that mean?
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Question 743668: If a system of linear equations intersects at every point what does that mean?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
If these two or more linear equations , that point of intersection is called the to the system of linear equations.
How many solutions can systems of linear equations have?
Case I: solution
This is the most common situation and it involves lines that intersect time.
Case 2:
This only happens when the lines are . As you can see, parallel lines are going to .
Case 3:
This is the case and only occurs when you have the .
Consider, for instance, the two lines below
and
These two equations are really the line.
Example of a system that has infinite solutions:
Line 1:
find and
set and find
=> ; so, is at (,)
set and find
=> => ; so, is at (,)
Line 2:
set and find
=> => ; so, is at (,)
set and find
=> => => ; so, is at (,)
on a graph you will see only one line:
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