do only equations with variables on both sides ever have no solution or can an equation with the variable on one side have no solution? Justify your answer.

When an equation that has no solution, it means that the equation does not have an answer and that there is no way that the equation will be true regardless of the values given to variables or where the variables are on one side or both sides of the equation because of the way the equation was set up or constructed.

Step-by-step explanation:

For example, the following equation with variables on both sides of the equal sign that has no solution, we have;

21 + 9·x = 15+ 5·x + 4·x

21 + 9·x = 15+ 9·x

Subtracting 9·x from both sides gives;

21 + 9·x - 9·x  = 15+ 9·x - 9·x

21 + 0 = 1 5 + 0

21 = 15 (Which not true and cannot be true because 21 ≠ 15)

For example of equation with variables on one side of the equal sign has no solution, we have;

21 + 9·x - 5·x - 4·x = 15

21 + 9·x - 9·x  = 15

21 + 0  = 15

21 = 15 (Which not true and cannot be true because 21 ≠ 15).

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step-by-step explanation:

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