Reasoning Can you tell that there is no solution for a system by just looking at the equations? Explain and give an example.
To find:the condition satisfied by the system of equations so that the system has no solution.
Answer to Problem 14P
Yes, we can tell that there is no solution for a system by just looking at the equations.
For example:
Explanation of Solution
First, we will write the condition for no solution.
Consider the following equations:
The system has no solution if
Now we will give an example.
For example,
First, we will try to find the solution of the above equations
Multiply
Subtract
So, the system of equations has no solution.
Now we will check the condition
For equations
Now find
Therefore,
So, the given conditions for no solution are also satisfied.
Chapter 6 Solutions
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