The graph which shows the system of equations which shows one solution, no solution or infinitely many solutions need to be drawn.
Answer to Problem 29HP
The graph drawn as:
- One solution:
- No Solution:
- Infinite solutions:
Explanation of Solution
Given:
Three graph conditions given as:
- One solution
- No Solution
- Infinite solutions
Calculation:
One solution:
If the two graph equations shows that they are intersecting to each other at a single point then there is one solution is present which is truly satisfied the both graph eqns.
The following graph will show the condition of the one solution:
Two solutions:
If the two graph equations show that they are not intersecting to each other at a single point then there is no solution to satisfy the both graph eqns.
Infinite solutions:
If the graph equations are same then there is infinite number of solutions which is truly satisfied the both graph eqns.
Conclusion:
Hence, the graphs are drawn as above.
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