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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.

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

How do you know if a value a is a solution to an equation?

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)


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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.


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A number that makes an equation true is its solution.


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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.


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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.


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


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