Can you divide by a variable in an equation?

Don’t divide by variables or by algebraic expressions. Don’t cancel by variables or by algebraic expressions. Always consider whether the factor by which you would want to divide could equal zero, and either factor it out or consider the process in separate cases.

Why is it important to solve an equation for a different variable?

If you want to solve for the unknowns using mathematical equations it is necessary to define the unknown variables i.e. what they represent in the real world so that the known relationships can be expressed in equation form.

Can you divide systems of equations?

We can multiply or divide the equations in a system by any number that is convenient (except for 0). The goal of using this strategy is to manipulate the equations so that adding or subtracting them eliminates one of the variables.

Why shouldn’t you divide by a variable when you are solving equations?

Never divide both sides of the equation by a variable, even if you’re doing it to try to solve a rational equation, because there’s a very real danger that you will actually eliminate answers.

Why can you not divide by a variable?

More generally, anytime you divide by a variable expression, you run the risk that the package is contraband. So we try to avoid it as much as possible.

Why do we need to divide both sides of the equation?

By dividing, you are excluding the possibility that the number in question is zero, and as such you may be eliminating correct answers. For a very simple example, consider the case of the equation x2−x=0.

Why is it important to check your answer after solving an equation?

It is important to check your answer after solving a rational equation to see whether or not the solution makes sense.

Why do we divide equations?

It doesn’t help and becomes a total mess. The short answer to why it is a good idea to divide one equation by the other is: Because it makes the problem easier. When you divide one equation by the other the common factor of (1+i)5 cancels out and you are left with an equation that can be solved by “unwinding”.

Why do you have to divide both sides of the equation?

If two expressions are equal to each other and you multiply both sides by the same number, the resulting expressions will also be equivalent. When the equation involves multiplication or division, you can “undo” these operations by using the inverse operation to isolate the variable.