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What is the meaning of solution of an equation?
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.
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.
What is the difference between a linear equation with one variable and a linear equation with two variables?
A function of one variable is of the form y=f(x) where all you need to know in order to get values for y is the value of the independent variable, x. A function of two variables is of the form z=f(x,y) where you need to know the values of both x and y to get a value for z. A linear equation is simply and algebraic equation where all variables, regardless of how many there are, are raised to the power of one.
When two expressions are the same does any one know the term for that?
If they are the same for only some values of the variables, they form an equation. If they are the same for all values of the variables, they form an identity. For example, (x + y)2 = x2 + y2 is an equation which is true if x = 0 or y = 0 (or both), while (x + y)2 = x2 + 2xy + y2 is always true and so is an identity.
What is the importance of range in math?
lthe range of any graph describes all the y-values that are represented. If there are no restrictions on the variables in the equation on the graph, the range is generally y= all real numbers (that |R symbol)
