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show that the equation ax=b does not have a solution for all possible b for which ax=b does have a solution

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Final answer:

To show that the equation ax=b does not have a solution for all possible b for which ax=b does have a solution, we can use a counterexample.

Step-by-step explanation:

To show that the equation ax=b does not have a solution for all possible b for which ax=b does have a solution, we can use a counterexample.

Let's consider the equation 2x=4. This equation has a solution, which is x=2.

However, if we try to solve the equation 2x=b, we can see that there is no single value of x that will satisfy this equation for all possible values of b. Therefore, we have shown that there are cases where ax=b has a solution, but not for all possible values of b.

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