It really depends on the type of equation, but in the simpler cases - those that you are likely to encounter in high school algebra - you will usually need to replace the purported solution into the original equation, then simplify the equation as appropriate. If this results in a true statement (for example, "5 = 5"), then the solution is correct; if you get a false statement (for example, "1 = 0"), then the purported solution is not correct.
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first you have to solve the equation; then to check plug in the solved values to the equation to make sure the left side equals the right side.
evaluate the equation, find the answer check the answer
how can the reflexive property be applied to check the accuracy of a solution to equation?
Substitute that value in the equation, and then check to see if the resulting statement is TRUE.
By substitution.
Solution. A solution of an equation is a number that satisfy the equation. This means that if you replace this number on the equation and check it, the equation will be true. When you solve an equation you can find some roots, but not all of them satisfy the equation. Thus always check your answers after resolving your equation, and eliminate as solution the answers that don't make the equation true or undefined.