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For elementary algebra equations, merely simplifying both sides and seeing if they match might work. For advanced algebra and trig, try transforming one side to the other, or both to a different third thing. If you are successful with either thing, it is true. If you reached the end of your figuring and got something that isn't always true (e.g. x2 = x or y = 5), then it's false.

Q: How do you know if a equation is true?

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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)

Substitute the first of the ordered pair wherever x appears in the equation and the second value wherever you have y. Evaluate the equation. If it is true, then the point is on the line and if not, it is not.

When you put the number in place of the variable (like maybe the 'x' or the 'y') wherever the variable occurs in the equation, and the statement you get out of all the numbers you have is not true, then you know the number is not a solution.

An equation that is always true is an identity.

Seems to me like if it's not always true, then it's no 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)

I don know

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.

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

A number that makes an equation true is its solution.

Substitute the first of the ordered pair wherever x appears in the equation and the second value wherever you have y. Evaluate the equation. If it is true, then the point is on the line and if not, it is not.

When you put the number in place of the variable (like maybe the 'x' or the 'y') wherever the variable occurs in the equation, and the statement you get out of all the numbers you have is not true, then you know the number is not a solution.

In math, an equation that is always true is called an identity.

An equation that is always true is an identity.

No equation can have that property. It cannot be an equation if it is not true. If necessary, the domain must be amended. An equation can have different forms over different parts of its domain.

The solution set is the answers that make an equation true. So I would call it the solution.

The equation is true under all circumstances if the equation balances.