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-- If the equation has only one variable (like 'x' or 'y'), and the only power of the

variable anywhere in the equation is '1', then the equation has one solution.

-- If the variable appears raised to powers higher than '1', then there are as many

solutions as the highest power of the variable.

-- If the equation has two or more variables, then there are an infinite number of solutions.

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Q: Does an equation have one true solution?

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A solution to an equation is a set of values for the variables in the equation which make it true.

It is true for all permissible values of any variables in the equation. More simply put, it is always true.

That is called a solution.

not always but most of the time yes

undefined means you can not do the operation (5/0 is undefined) no solution refers to an equation not having an answer. a solution is a number which you can plug into the variable of an equation and get a true statement. So having no solution means there is no number which you can plug in and get a true statement. As a fraction is not an equation, but an expression it is not right to say that 5/0 has no solution. There is no variable in 5/0, nothing to plug into to get a true or false statement.

Related questions

If A is a number that makes an equation true, then A is a "solution" to the equation.

Any number that makes an equation true is a 'solution of an equation'. it is a solution

it has one real solution

It has one real solution.

The equation has two real solutions.

A solution to an equation is a set of values for the variables in the equation which make it true.

That's the "solution" of the equation.

The solution (or solution set, if more than one number).

If this value a satisfy the equation, then a is a solution for that equation. ( or we can say that for the value a the equation is true)

In a nonlinear equation, each variable must only have one solution.

A number that makes an equation true is its solution.

The solution. If more than one, the solution set.

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