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What is an equation that is not true for any value of the variable?
Wiki User
∙ 7y ago
It is an equation with no solutions [in the given domain]. There may (or may not) be solutions if you change the domain.
For example, if X is an integer, then 5X = 2 has no solution. But if you change the domain to rational numbers, then X = 2/5 or 0.4 is a solution.
Wiki User
∙ 7y ago
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What is an equation that is not true for any value of a variable?
linear equation in one variable
Is to an equation is any value of the variable that makes the equation true?
Such a value is said to be a solution, or a root, of the equation.
What is a linear equation that is not true for even one real number and therefor has no 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.
What does value of variables mean?
In algebra, variables are represented by letters such as x. A variable could be any number. That number is the "value" of the variable. In an expression, you can choose a number to put in for x, and simplify to get a number which is the value of the expression. In an equation, you can solve for the value of x, which will be the value of x which makes the equation true.
What is a root of a quadratic equation?
The root of any equation is a number which ... when substituted for the variable ...makes the equation a true statement.
What is an equation that is not true for any value of a variable?
linear equation in one variable
Is to an equation is any value of the variable that makes the equation true?
Such a value is said to be a solution, or a root, of the equation.
An equation that is made true by any permissible replacement value for the variable is called?
It is an identity.
How do you solve -12 is less than or equal to -12?
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.
What value of y makes this equation true when x equals 3?
In the equation x = 3, if x = 3, the equation is true, if x has any other value, it is not. The value of any other variable, such as y, is irrelevant. I would say that the answer is 0 because otherwise y is part of the equation which clearly it isnt.
What is a linear equation that is not true for even one real number and therefor has no 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.
What does value of variables mean?
In algebra, variables are represented by letters such as x. A variable could be any number. That number is the "value" of the variable. In an expression, you can choose a number to put in for x, and simplify to get a number which is the value of the expression. In an equation, you can solve for the value of x, which will be the value of x which makes the equation true.
What is a root of a quadratic equation?
The root of any equation is a number which ... when substituted for the variable ...makes the equation a true statement.
What is x in the sum 9x plus 12 equals?
A variable like "x" can have any value. If you have a complete equation, like 9x + 12 = 100, a specific value of x will make the equation true; other values will make it false. But here, you don't have an equation, so any value will do for x.
A value that makes an equation true?
Any number that makes an equation true is a 'solution of an equation'. it is a solution
What of an equation is any value that makes the equation true?
Such an equation is called an IDENTITY.
Give an example of an equation that is an identity?
An identity is an equation that is always true, for any value of the variable or variables. Here are some examples: x + x = 2x a + b = b + a x1 = x
