Revise equation resolution easily

Aug 6th, 2022
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How to revise equation resolution

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Hi, Im Rob. Welcome to Math Antics. In the last two Algebra videos, we learned how to solve simple equations that had only one arithmetic operation in them. But often, equations have many different operations which makes solving them a little more complicated. In this video, were going to learn how to solve equations that have just two math operations in them. one addition or subtraction operation, and one multiplication or division operation. And the concepts you learn in this video will help you solve even more complicated equations in the future. Now as you might expect, equations that have two arithmetic operations in them are going to require two different steps to solve them. In other words, to get the unknown all by itself, youll need to undo two operations. But that doesnt sound too hard, right? I mean we learned how to do undo any arithmetic operation in the last two videos. And thats true. But there are a couple of reason that make two-step equations a little trick

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We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal.
There are five basic rules of algebra.They are: Commutative Rule of Addition. Commutative Rule of Multiplication. Associative Rule of Addition. Associative Rule of Multiplication. Distributive Rule of Multiplication.
Here is the order in which you should reverse operations: Reverse addition and subtraction (by subtracting and adding) outside parentheses. Reverse multiplication and division (by dividing and multiplying) outside parentheses.
Using equality-preserving transformations to prove an equation. One way to prove that an equation is true is to start with one side (say, the left-hand side) and to convert it, by a sequence of equality-preserving transformations, into the other side.
Three things to remember: 1) Use the opposite Function to move something from one side to the other. 2) What you do to one side, you must do to the other side of the equation. 3) Get the variable on the top and by itself.
So lets review: RULE #1: you can add, subtract, multiply and divide by anything, as long as you do the same thing to both sides of the equals sign. RULE #2: to move or cancel a quantity or variable on one side of the equation, perform the opposite operation with it on both sides of the equation.

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