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Rearranging an equation involves isolating the desired variable on one side of the equal sign. This can be done by performing the same operation on both sides of the equation, such as adding or subtracting, dividing or multiplying by a constant, or taking the square root. The goal is to get the variable by itself on one side of the equation.
Rearranging equations allows us to solve for a specific variable and better understand the relationship between different variables in a mathematical equation. It also allows us to manipulate the equation to find different solutions and make predictions based on different values for the variables.
The basic rules for rearranging equations include the commutative, associative, and distributive properties, as well as the inverse operations. These rules allow us to manipulate equations while maintaining the equality between both sides.
Yes, any type of equation can be rearranged as long as it follows the basic rules and principles of algebra. However, some equations may be more complex and require more steps to be rearranged.
To check if your rearranged equation is correct, you can substitute the values of the variables into both the original and rearranged equations and see if they give the same result. You can also use an online calculator or ask a peer or teacher to double check your work.