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What is an equation that is not true for any value of the variables?
Wiki User
∙ 8y 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.
Charlene Shields
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Why are the number sentences w-x plus x w and w plus x-x w called identities?
The idea is that a regular equation is simply a statement that two quantities are the same; this statement may, or may not, be true - or it may depend on the value of the variables. For example, x + 2 = 5 is true, only if x is replaced with 3. An "identity" is an equation that is true for any value of the variables.
Equation that is not true for any value?
x - 1 = x + 1
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 does it mean for a ordered pair to be a solution to a linear equation?
An ordered pair is a solution only of a linear equation in two variables - not any linear equation. Often the variables are denoted by x and y. If the first of the ordered pair is substituted for x in the equation, and the second for y, then the equation represents a true statement.
An equation that is made true by any permissible replacement value for the variable is called?
It is an identity.
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.
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.
If an equation is an identity what is true about the solution?
It is true for all permissible values of any variables in the equation. More simply put, it is always true.
A value that makes an equation true?
Any number that makes an equation true is a 'solution of an equation'. it is a solution
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 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
When an equation has two variables there is a number of values that the two variables could have?
If an equation has two variables, we'll call them (x,y), the variables can be any value as long as both sides of the equation have the same result. If the equation was x = y, then the variables could be (1,1), (2,2), (3,3),etc...
Why are the number sentences w-x plus x w and w plus x-x w called identities?
The idea is that a regular equation is simply a statement that two quantities are the same; this statement may, or may not, be true - or it may depend on the value of the variables. For example, x + 2 = 5 is true, only if x is replaced with 3. An "identity" is an equation that is true for any value of the variables.
What is an equation that is not true for any value of a variable?
linear equation in one variable
What does the letter n mean in an algebra equation?
"n", as well as other letters, are used as variables. They can contain any value; quite often, you need to find out what value you should replace to make an equation valid. For example, in: n + 1 = 4 In this case, if you replace "n" with "3", the equation will be satisfied (true); for any other value it won't.
Which best explains why the equation 7x plus 3 equals 7x plus 3 has infinitely many solutions?
Strictly speaking the above equation is a tautological equation or an IDENTITY. An identity is true for all values of any variables that appear in it. Thus, the above "equation" is true for all value of x. - that is, it has infinitely many solutions.
