It is the set of values for all the variables in the equation which make the equation true.
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.
an equation that's true for all values is an identity.
The solutions.
Yes. If it had more than one y value for each x value, on the other hand, it would not. A function is "Something that has a value depending on some input". Now an equation is something like Function(of x) = 0. You could say this equation has 2 possible values, True or False. This is not the same thing as saying there are two values of x to make the zero. So y=x2 has two values of x for every y. Generally, nobody would say y=x2 is a function. Except in the sense that it the equation is true for some values of x and y, and false for any others.
The solution.
In mathematics, a solution refers to a value or set of values that satisfies an equation, inequality, or system of equations. It is the value or values that make the equation or inequality true.
The goal is to find what value or values the variable may have, to make the equation true.
only one value will make the equation true: 2x = 5 x=5/2 x=2.5
One, the value five.
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.
It is the set of values for all the variables in the equation which make the equation true.
They are called the "solutions" of the equation.
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.
A solution to an equation is a set of values for the variables in the equation which make it true.
Solution set
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.