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What else can I help you with?
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.
A value that makes an equation true?
Any number that makes an equation true is a 'solution of an equation'. it is a solution
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
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.
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.
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 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.
What of an equation is any value that makes the equation true?
Such an equation is called an IDENTITY.
True Or False Any value that is unknown or can change is a variable?
True.
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
Is it true that any value that is unknown or change is a variable?
No. A value that is unknown may not be a variable but simply a constant whose value needs to be calculated.
Show that x2 plus 8x-40 equals 0?
An equation, such as the one above, may be true for some values of the variable(s). There need not be any solution in the relevant domain. To "show" something, in this context, you need an identity - an equation that is true whatever the value of the variable. The above is NOT an identity, since for x=0 is gives -40 = 0 which is clearly not true.
