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Q: How is this different from determining if a value is a solution to an equation?

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If this value a satisfy the equation, then a is a solution for that equation. ( or we can say that for the value a the equation is true)

The solution

That's the "solution" of the equation.

It is the solution of the given equation.

Any number that makes an equation true is a 'solution of an equation'. it is a solution

Such a value is said to be a solution, or a root, of the equation.

a solution

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.

With a formula, you know the variable's value, and you have to calculate the value of the function of it. With an equation, you know the function's value, and you have to calculate the value of the variable.

y = -2.5 is a equation. And solution to the equation is finding the value of the variable. If we see the equation y is already equal to -2.5 which is the solution to the equation.

solution

Such a value is called a "solution" or "root" of an equation.

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