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By definition, an equation has a solution. The word comes from "equal".

Some mathematical problems do not have solutions. For example, 1/0 = X is a problem with no solution. You know, in this example that there is no solution because of the "divide by zero" rule. Most insoluble problems are insoluble because of some rule that keeps you from moving ahead.

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Related Questions

How do you know if a value a is a solution to an equation?

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)


How do you know if an equation is equivalent?

An equation is equivalent to another equation, if they have the same solution.


What is the solution to an equation?

a solution to an equation is the answer


Why do we represent the solution to an inequality with a graph on a number line but we don't do the same for the solution to an equation?

An equation has an equal sign, which means that we know what the variable is equal to :)


What is the difference between a situation and a solution equation?

A situation equation follows the order of the story problem.For instance:Johnny has 8 apples, he eats some, and has 3 left.The situation equation would be: 8 - a = 3A solution equation is the equation that would help you find the solution. Your brain doesn't automatically know what "a" is, it has to rearrange the order of the equation and then solve.The solution equation would be: 8 - 3 = a, then you would solve it.


What is the difference in solution and equation?

A solution is the answer to an equation.


What is an equation that has no solution called?

An equation that has no solution is called an equation that has no solution.


How do you know when a number is not a solution of an equation?

When you put the number in place of the variable (like maybe the 'x' or the 'y') wherever the variable occurs in the equation, and the statement you get out of all the numbers you have is not true, then you know the number is not a solution.


How do you know if a quadratic equation will have one two or no solutions How do you find a quadratic equation if you are only given the solution Is it possible to have different quadratic equation?

Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .


What is Solution of the equation?

In algebraic terms, the solution is the answer to equation.


Can you solve an equation if it has no solution?

Every equation has a solution.


How do you know if a point is a solution if you are looking at the graph?

To determine if a point is a solution on a graph, check if the point's coordinates (x, y) satisfy the equation of the graph. If the point lies on the curve or line representing the equation, it is a solution. For instance, if the equation is y = f(x), substitute the x-coordinate into the equation to see if it equals the y-coordinate. If it does, the point is a solution.