To explain the system of linear equations with infinitely many solutions.
Explanation of Solution
Given:
System of equations with infinitely many solutions.
A system of equations has infinitely many solutions, when both the given lines are coincident (overlapping each other). Coincident lines have the same y intercept.
When two lines have the same y intercept and the slope, they are exactly the same line.
So, when two lines coincide, they have infinitely many points common to both the lines.
Hence, such equations have infinitely many solutions.
These system of equations are said to be consistent.
Conclusion:
Therefore, coincident lines have infinitely many solutions.
Chapter 6 Solutions
Algebra 1
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