ToMatch:The system of linear equations given below with its graph. Then, determine whether the system has one solution, no solution, or infinitely many solutions.
Answer to Problem 4E
The correct option of the graph of the given system of linear equations is option E.
The given system of linear equations has infinitely many solutions.
Explanation of Solution
Given:
The system of linear equations
Concept Used:
A system of linear equations has one solution if the lines intersect at only one point.
A system of linear equations has no solution if the lines are parallel.
A system of linear equations has infinitely many solutions if the lines overlap or they are same.
Calculation:
Given the system of linear equations
Graphing both the equations, we have
Therefore, the correct option of the graph of the given system of linear equations is option E.
Since, the lines are overlapping to each other.
Therefore, the given system of linear equations has infinitely many solutions.
Conclusion:
The correct option of the graph of the given system of linear equations is option E.
The given system of linear equations has infinitely many solutions.
Chapter 5 Solutions
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