Define the term equation and then explain what it means to solve an equation.

Hi every time I try to explain it I get my words all jumble up. I know what it is and how to solve just cant explain it.

http://en.wikipedia.org/wiki/Equation

No problem! I'm here to help you clearly understand and explain the concept.

An equation is a mathematical statement that shows the equality of expressions. It consists of two sides separated by an equal sign (=). One side may contain variables (unknown values) or constants (known values), and the other side may contain a combination of numbers, variables, and operations.

To solve an equation means to find the values of the variables that make the equation true. In simple terms, it's finding the answer(s) that satisfy the given equation. The solution to an equation represents the values that "balance" both sides of the equation, making them equal.

Here are the general steps to solve an equation:
1. Start by simplifying each side of the equation by performing the same operation on both sides (e.g., adding, subtracting, multiplying, or dividing).
2. Continue simplifying until you isolate the variable(s) on one side of the equation.
3. At this point, you should have the variable(s) equal to a number or an expression.
4. To find the value(s) of the variable(s), perform any necessary operations (e.g., simplifying, rearranging terms, etc.).
5. Finally, determine the solution(s) by expressing your answer in terms of the variable(s) or as a specific numerical value(s) if applicable.

It's important to remember that when solving an equation, you need to perform the same operation on both sides, maintaining the balance between the two sides. This ensures that you find the correct solution(s) that satisfy the original equation.

I hope this explanation helps you convey the concept more clearly! Let me know if you have any more questions.