I disagree with Raina. An example of a no solution is when you can't arrive at an answer after solving an equation or when you end up with a statement that is false.
When we solve an equation, we often solve to determine the value of a variable.
For instance, we would normally end up with a statement stating that a variable equals a numerical value. This value would make the equation true if we substitute it into the equation.
However, if we end up with untrue statements such as:
0 = 1,
12 = 2, etc.
These statements are obviously false. They are not true. We can then state that the equation is an example of a no solution.
If Raina solved an equation and got n = -9, that is the solution of the equation. The solution of the equation is not an example of a no solution.
An example of a no solution equation is shown below:
[tex]2x + 5 = 2x - 4\\2x - 2x = -5 - 4\\0 = -9[/tex]
Therefore, Raina is wrong for stating that this solution is an example of a no solution. The equation as an answer.
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