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.
I'm going to assume you have an equation to go with your variable? It means "Check if this number works" What to do is put the given value into the equation instead of the variable and see if the result is true - if it is you have a solution, if not you don't. I'll make one up as a demo: Equation : a + 4 = 7 is a = 2 a solution? a+4=7 2+4=7 6=7 (FALSE!) No this given value is not a solution.
A linear equation in one variable. Case 1: A conditional equation: True only for a value of the variable. Ex. x + 2 = 3, True only when x is 1. Case 2: Identity Equation: Always true. Ex. x + 2 = x + 2, True for any value of x. Case 3: x + 1 = x + 5, False for any value of x. We call a solution any value of the variable that satisfies the equation, meaning if we replace the variable with that value, the equation becomes a true statement. Example: -2(x -3) = 8 - 2x -2x + 6 = 8 - 2x (add 2x and subtract 6 to both sides) 0 = 2 False. Since this equation, which is equivalent to the original equation, is false, then the original equation is also false. Meaning, there is no real number for x that could satisfy the equation. So there is no solution to the equation.
In math, that refers to an equation which includes a variable. Such an equation may be true, or false, depending on the value assigned to the variable.
A solution to an question makes the equation true. For example a solution to the equation 3x = x + 6 is x = 3, since 3(3) = 3+6.
An equation or an inequality that contains at least one variable is called an open sentence. ... When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.
When an equation is based on false assumptions, you know that it has not solution. At other times, you may be able to tell through trying to solve the equation and constantly failing.
You normally "solve" something when there is a variable involved. In this case there is no variable. All you have to do is decide whether it is true or false. If this is derived from an original equation (or, in this case, inequality) which involved variables, then if the equation (or inequality) without variables is true, it means it is true for ANY value of the variable. If it is false, the original equation (or inequality) can't be satisfied by any value of the variable.
21 is the only solution of that equation.
You substitute the coordinates of the point in the equation. If the result is true then the point is a solution and if it is false it is not a solution.