legal equation
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In mathematics, it is called an identity.
No, it's the other way round - an equation that's true for every value of the variable(s) is called an identity. Of course, an identity is also an equation.
linear equation in one variable
Such a value is said to be a solution, or a root, of the equation.
For a value to be a solution to an equation, when you substitute the value for the variable, the equation becomes true. 4+B=6 B is the variable. 2 is the solution Substitute 2 for B 4+2=6 The equation is true.
solution
No, it's the other way round - an equation that's true for every value of the variable(s) is called an identity. Of course, an identity is also an equation.
linear equation in one variable
It's the value that when substituted in for the variable, makes the equation true. Ex: x + 1 = 3 The value 2, when substituted for the variable x, makes the equation true.
The value of the variable that makes an equation true is known as the "solution" to the equation. For example, if you have the equation (x + 3 = 7), the solution is (x = 4), since substituting 4 into the equation yields a true statement. In general, finding the value of the variable involves manipulating the equation to isolate the variable on one side.
You substitute the value of the variable into the equation and simplify. If the rsult is a true statement then that value of the variable really does satisfy the equation.
Such a value is said to be a solution, or a root, of the equation.
Solution
an solution
A value of the variable that makes the equation statement true is called a solution. For example, in the equation ( x + 2 = 5 ), the value ( x = 3 ) is a solution because substituting it into the equation yields a true statement. There can be multiple solutions or none, depending on the equation. To find a solution, you can isolate the variable and solve for its value.
That's the "solution" of the equation.
For a value to be a solution to an equation, when you substitute the value for the variable, the equation becomes true. 4+B=6 B is the variable. 2 is the solution Substitute 2 for B 4+2=6 The equation is true.
solution