to see ifyou made any mistakes
to find the unknown variables
no. an individual step might be, but not all.
In algebra, you perform the operations inside parentheses first.
Methods vary considerably depending upon the number of powers in the equation. For example, the method for solving cubics is quite different to solving quadratics etc... It's not really possible to generalise to one technique.
What role of operations that applies when you are solving an equation does not apply when your solving an inequality?"
to find the unknown variables
Get rid of the denominator.
no. an individual step might be, but not all.
It is important to check your answers to make sure that it doesn't give a zero denominator in the original equation. When we multiply both sides of an equation by the LCM the result might have solutions that are not solutions of the original equation. We have to check possible solutions in the original equation to make sure that the denominator does not equal zero. There is also the possibility that calculation errors were made in solving.
In algebra, you perform the operations inside parentheses first.
Yes, but it depends on your mathematical skills and confidence.
Methods vary considerably depending upon the number of powers in the equation. For example, the method for solving cubics is quite different to solving quadratics etc... It's not really possible to generalise to one technique.
Yes. Since "these" do not exist, cjanging them should not make a difference.
1. First we need to determine the least common denominator of the fractions in the given rational equation. 2. We need to take out the fractions by multiplying All terms by the least common denominator. 3. Then we have to simplify the terms in rational equation. 4. Solve the resulting equation. 5. Check the answers to make confident the solution does not make the fraction undefined.
What role of operations that applies when you are solving an equation does not apply when your solving an inequality?"
"another" implies that you already have one example. In order to answer the question it might just help to know what that is.
No because you always keep an equation in balance when solving it