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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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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)
How do you know if an order pair is on the line of an equation?
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.
What is an equation that is true regardless of the values of the variables called?
An equation that is always true is an identity.
How do you know when a number is not a solution of an equation?
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.
What a word of An equation that is always true?
Identity equation
