An equation that is always true is an identity.
that is called the solution set
The answer in an equation is called the "solution." It is the value or values that satisfy the equation, making both sides equal when substituted into the expression. In the case of equations with multiple variables, the solution may represent a set of values.
The variables of this equation are your letters: a, b, and c. Variables merely stand in an equation to represent values that we don't know. "Solving" an equation is the process by which we uncover those values. In this particular case, since there are three variables, we cannot discover their values unless we have two other equivalent equations (a system of equations).
A solution to an equation is a set of values for the variables in the equation which make it true.
The equations ( w - x = xw ) and ( wx - w = 0 ) are called identities because they hold true for all values of the variables involved, regardless of their specific values. An identity is a mathematical statement that is universally valid, meaning both sides of the equation are equal for any permissible values of the variables. This property distinguishes identities from regular equations, which may only be true for specific values. In essence, identities reveal fundamental relationships between the variables.
It is called the DOMAIN!
that is called the solution set
The answer in an equation is called the "solution." It is the value or values that satisfy the equation, making both sides equal when substituted into the expression. In the case of equations with multiple variables, the solution may represent a set of values.
the relationship between variables and/or variables and values
It is the set of values for all the variables in the equation which make the equation true.
The variables of this equation are your letters: a, b, and c. Variables merely stand in an equation to represent values that we don't know. "Solving" an equation is the process by which we uncover those values. In this particular case, since there are three variables, we cannot discover their values unless we have two other equivalent equations (a system of equations).
A solution to an equation is a set of values for the variables in the equation which make it true.
terms that do not contain any variable components, so their value remains fixed or constant regardless of the input values of the variables in an expression or equation. They are typically numerical values or coefficients that do not change.
The solution to an equation consists of the value (or values) of all the variables such that the equation is true when the variable(s) take those values.
In an equation, the letters represent variables that can take on different values. Each letter represents a specific quantity or value that is being referred to in the equation. The goal is to solve for these variables to determine their values and make the equation true.
An equation is a mathematical statement that may (or may not) be true, defined for some variables. Solving an equation is finding those values of the variables for which the equation or statement is true.
The equation which remains true for each set of variables in the table.