What is a solution in the context of an equation?

In the context of an equation, a solution is defined as a value or set of values that, when substituted into the equation, make the equation true. This means that if you plug the solution into the original equation, both sides will be equal, confirming that the statement holds valid for that particular value.

For example, if you have the equation (x + 2 = 5), the solution is (x = 3). When you substitute 3 into the equation, you find that (3 + 2 = 5), which is a true statement. This reflects the core principle of equations: the relationship between variables is established through equality, and a solution satisfies that condition.

Other choices do not accurately represent the concept of a solution. A value that is always true might refer to a constant or a property of numbers, but it does not capture the essence of what makes an equation valid. Similarly, a method to graph an equation relates to visual representation rather than the intrinsic solution itself, and a type of problem to solve is too vague, lacking the specificity that comes with defining solutions in mathematical terms.