During the solving of this equation, the variable was eliminated. This means that the equation has no solution. In other words, no value of y will make the left side of the equation equal the right side of the equation. |
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This example demonstrates no solution for a rational equation because the variables are all eliminated as the equation is solved.
A second case with no solution occurs when the answer equals a non-permissible value for the question.
In this case, the answer is called an extraneous root.
To ensure your solution is not an extraneous root, you must remember to compare your answer to the non-permissible values.