5. Explain how substitution and isolation is related?

Answer 1

Substitution and isolation are two common methods used in algebra and problem-solving.

Substitution refers to the process of replacing a variable with an equivalent expression in an equation or expression. It involves solving one equation for one variable and then substituting that expression into another equation to solve for another variable. This allows us to simplify the problem and find a solution.

On the other hand, isolation refers to the process of isolating a variable on one side of an equation and rearranging the equation to solve for that variable. This involves moving all other terms and variables to the other side of the equation. By isolating the variable, we can easily solve the equation and find its value.

Substitution and isolation are related because both methods are used to solve equations and find the values of variables. In some cases, we may need to use both methods together to solve a problem. For example, if we have a system of equations, we can use substitution to solve one equation for a variable and isolate that variable in the other equation. Then, we can substitute the isolated variable expression into the other equation. This allows us to simplify the system of equations and solve for the variables.