Seems to me like if it's not always true, then it's no equation.
An equation that is always true is an identity.
No, it's not
It is true for all permissible values of any variables in the equation. More simply put, it is always true.
not always but most of the time yes
In math, an equation that is always true is called an identity.
Seems to me like if it's not always true, then it's no equation.
An equation that is always true is an identity.
Solution. A solution of an equation is a number that satisfy the equation. This means that if you replace this number on the equation and check it, the equation will be true. When you solve an equation you can find some roots, but not all of them satisfy the equation. Thus always check your answers after resolving your equation, and eliminate as solution the answers that don't make the equation true or undefined.
No, it's not
It is true for all permissible values of any variables in the equation. More simply put, it is always true.
not always but most of the time yes
An identity is an equation that is always true, no matter what value you replace for the variable.To give a simple example, 2x + 3x = 5x is true for any x.An identity is an equation that is always true, no matter what value you replace for the variable.To give a simple example, 2x + 3x = 5x is true for any x.An identity is an equation that is always true, no matter what value you replace for the variable.To give a simple example, 2x + 3x = 5x is true for any x.An identity is an equation that is always true, no matter what value you replace for the variable.To give a simple example, 2x + 3x = 5x is true for any x.
Yes
True
Yes.
I am not entirely sure what situation you are talking about. If there is no "x" in an equation, there is no point in finding it. On the other hand, if "x" disappears when solving an equation, that's usually an indication that the equation is always true, or always false, independently of the value of "x". Example: x = x + 1 Subtracting "x" from both sides, you get: 0 = 1 Since this is false, the equation is false (for ANY value of "x"). As another example: 3x = 3x Subtracing 3x on each side, you get: 0 = 0 Since this is true, and "x" doesn't appear in it, the original equation is ALWAYS true, i.e., no matter what value "x" has.