a solution to an equation is the answer
An equation that has no solution is called an equation that has no solution.
An "extraneous solution" is not a characteristic of an equation, but has to do with the methods used to solve it. Typically, if you square both sides of the equation, and solve the resulting equation, you might get additional solutions that are not part of the original equation. Just do this, and check each of the solutions, whether it satisfies the original equation. If one of them doesn't, it is an "extraneous" solution introduced by the squaring.
Any number that makes an equation true is a 'solution of an equation'. it is a solution
A line is represented by an equation. Each solution of the equation is a point on the line, and each point on the line is a solution to the equation. So the line is just the graph of the solution set of the equation.
how can the reflexive property be applied to check the accuracy of a solution to equation?
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.
That's an extraneous solution. You need to check for these when algebraically solving equations, especially when you take both sides of an equation to a power.
If you found the value of x that is a solution to an equation, you want to substitute that value back into the original equation, to check that it indeed satisfies the equation. If it does not satisfy the equation, then you made an error in your calculations, and you need to rework the problem.
Substitute that value in the equation, and then check to see if the resulting statement is TRUE.
insert the answer in the equation, replacing the variable, and see if it still makes sense.
You cannot. x - 54 is an expression not an equation. An expression has no solution set since there is nothing to solve.
a solution to an equation is the answer
check the solution.
That depends a lot on what exactly you want to check. For example:* You can check a division, by doing the corresponding multiplication. * You can check the solutions to an equation, by replacing the variable with the purported solution and doing the calculations.
A solution is the answer to an equation.