# How to Determine Which Equation is Equivalent to Another

March 28, 2024
David Sunnyside

An important skill in algebra is knowing which equation to use for a given problem. Two equations may be equivalent to each other, even though they look different. This is because of the properties of equality, which allow you to perform certain operations on an equation without changing its solution. In particular, you can add or subtract the same value from both sides of the equation. You can also multiply and divide both sides of the equation, as long as you keep the same values for the constants on each side of the equation. In addition, you can raise the powers of both sides of the equation to the same power as long as they are non-negative.

To determine whether or not two expressions are equivalent, start by simplifying each one of them. You can do this by distributing any coefficients, combining like terms, and simplifying the parentheses. Once you have simplified the expressions, you can use the properties of equality to find out which is the correct one for the given problem.

The process of determining which equation is equivalent to another is known as finding an inverse of an equation. This process is accomplished by using the inverse operation to move all the parts of the equation that contain the variable to one side of the equation. Once all of the variables have been isolated, you can solve the equations for the value of the variable. This is a great example of an application of the inverse operation!

David Sunnyside
Co-founder of Urban Splatter • Digital Marketer • Engineer • Meditator